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Finding the Third Proportional to 15,781.78 and 34,532.72

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Solution

The third proportional to 15,781.78 and 34,532.72 is: 75,562.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,781.78 : 34,532.72 = 34,532.72 : x
  2. Step 2: Convert to fraction form
    15,781.78/34,532.72 = 34,532.72/x
  3. Step 3: Cross multiply
    15,781.78x = 34,532.72 × 34,532.72
  4. Step 4: Simplify right side
    15,781.78x = 1,192,508,664.27
  5. Step 5: Solve for x
    x = 1,192,508,664.27/15,781.78
  6. Step 6: Final answer
    x = 75,562.36

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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.