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Finding the Third Proportional to 15,724.13 and 25,327.69

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Solution

The third proportional to 15,724.13 and 25,327.69 is: 40,796.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,724.13 : 25,327.69 = 25,327.69 : x
  2. Step 2: Convert to fraction form
    15,724.13/25,327.69 = 25,327.69/x
  3. Step 3: Cross multiply
    15,724.13x = 25,327.69 × 25,327.69
  4. Step 4: Simplify right side
    15,724.13x = 641,491,754.10
  5. Step 5: Solve for x
    x = 641,491,754.10/15,724.13
  6. Step 6: Final answer
    x = 40,796.66

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.