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Finding the Third Proportional to 9,136.97 and 19,982.53

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Solution

The third proportional to 9,136.97 and 19,982.53 is: 43,701.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,136.97 : 19,982.53 = 19,982.53 : x
  2. Step 2: Convert to fraction form
    9,136.97/19,982.53 = 19,982.53/x
  3. Step 3: Cross multiply
    9,136.97x = 19,982.53 × 19,982.53
  4. Step 4: Simplify right side
    9,136.97x = 399,301,555.16
  5. Step 5: Solve for x
    x = 399,301,555.16/9,136.97
  6. Step 6: Final answer
    x = 43,701.75

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.