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Finding the Third Proportional to 42,614.86 and 63,097.73

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Solution

The third proportional to 42,614.86 and 63,097.73 is: 93,425.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,614.86 : 63,097.73 = 63,097.73 : x
  2. Step 2: Convert to fraction form
    42,614.86/63,097.73 = 63,097.73/x
  3. Step 3: Cross multiply
    42,614.86x = 63,097.73 × 63,097.73
  4. Step 4: Simplify right side
    42,614.86x = 3,981,324,083.26
  5. Step 5: Solve for x
    x = 3,981,324,083.26/42,614.86
  6. Step 6: Final answer
    x = 93,425.72

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.