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Finding the Third Proportional to 15,725.81 and 24,136.31

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Solution

The third proportional to 15,725.81 and 24,136.31 is: 37,044.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,725.81 : 24,136.31 = 24,136.31 : x
  2. Step 2: Convert to fraction form
    15,725.81/24,136.31 = 24,136.31/x
  3. Step 3: Cross multiply
    15,725.81x = 24,136.31 × 24,136.31
  4. Step 4: Simplify right side
    15,725.81x = 582,561,581.10
  5. Step 5: Solve for x
    x = 582,561,581.10/15,725.81
  6. Step 6: Final answer
    x = 37,044.93

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.