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Finding the Third Proportional to 47,451.38 and 71,487.56

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Solution

The third proportional to 47,451.38 and 71,487.56 is: 107,699.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,451.38 : 71,487.56 = 71,487.56 : x
  2. Step 2: Convert to fraction form
    47,451.38/71,487.56 = 71,487.56/x
  3. Step 3: Cross multiply
    47,451.38x = 71,487.56 × 71,487.56
  4. Step 4: Simplify right side
    47,451.38x = 5,110,471,592.19
  5. Step 5: Solve for x
    x = 5,110,471,592.19/47,451.38
  6. Step 6: Final answer
    x = 107,699.13

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.