Multiply these:

$$3 \times 2 \times 9 = 6 \times 9 = 54$$

The missing number is $\boxed{\text{54}}$.
(Note: The student's written answer of 84 does not fit this pattern.)

2)
Given: TL=2, TR=5, BL=2. Find BR.

$$2 \times 5 \times 2 = 10 \times 2 = 20$$

The missing number is $\boxed{\text{20}}$.

3)
Given: TL=8, TR=3, BL=4. Find BR.

$$8 \times 3 \times 4 = 24 \times 4 = 96$$

The missing number is $\boxed{\text{96}}$.

4)
Given: TL=7, TR=3, BL=5. Find BR.

$$7 \times 3 \times 5 = 21 \times 5 = 105$$

The missing number is $\boxed{\text{105}}$.

5)
Given: TL=2, BL=3, BR=24. Find TR.

$\text{TL} \times \text{TR} \times \text{BL} = \text{BR}$.

$$2 \times \text{TR} \times 3 = 24$$

$$6 \times \text{TR} = 24$$ $$\text{TR} = \frac{24}{6} = 4$$

The missing number is $\boxed{\text{4}}$.

6)
Given: TL=5, TR=5, BL=2. Find BR.

$$5 \times 5 \times 2 = 25 \times 2 = 50$$

The missing number is $\boxed{\text{50}}$.

7)
Given: TR=6, BL=2, BR=36. Find TL.

$\text{TL} \times \text{TR} \times \text{BL} = \text{BR}$.

$$\text{TL} \times 6 \times 2 = 36$$

$$\text{TL} \times 12 = 36$$ $$\text{TL} = \frac{36}{12} = 3$$

The missing number is $\boxed{\text{3}}$.

8)
Given: TL=4, TR=5, BR=400. Find BL.

$\text{TL} \times \text{TR} \times \text{BL} = \text{BR}$.

$$4 \times 5 \times \text{BL} = 400$$

$$20 \times \text{BL} = 400$$ $$\text{BL} = \frac{400}{20} = 20$$

The missing number is $\boxed{\text{20}}$.

9)
Given: TL=2, TR=5, BL=2. Find BR.

$$2 \times 5 \times 2 = 10 \times 2 = 20$$

The missing number is $\boxed{\text{20}}$.
(Note: This problem is identical to . The student's written answer of 5 does not fit this pattern.)

10)
Given: TL=6, BL=2, BR=60. Find TR.

$\text{TL} \times \text{TR} \times \text{BL} = \text{BR}$.

$$6 \times \text{TR} \times 2 = 60$$

$$12 \times \text{TR} = 60$$ $$\text{TR} = \frac{60}{12} = 5$$

The missing number is $\boxed{\text{5}}$.