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Set up the proportion as an equation.

Mathematics

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6

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Here's the solution for the first problem.

: If the ratios 12:36=x:1812:36 = x:18 are in proportion. What is the value of xx?

  1. Set up the proportion as an equation.

    A proportion states that two ratios are equal.

    1236=x18\frac{12}{36} = \frac{x}{18}
  2. Simplify the left side of the equation.

    1236=13\frac{12}{36} = \frac{1}{3}

    So the equation becomes:

    13=x18\frac{1}{3} = \frac{x}{18}
  3. Solve for xx by multiplying both sides by 18.

    x=13×18x = \frac{1}{3} \times 18 x=183x = \frac{18}{3} x=6x = 6

    The value of xx is:

    66
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