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Finding the Third Proportional to 31,593.38 and 67,947.19

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Solution

The third proportional to 31,593.38 and 67,947.19 is: 146,132.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,593.38 : 67,947.19 = 67,947.19 : x
  2. Step 2: Convert to fraction form
    31,593.38/67,947.19 = 67,947.19/x
  3. Step 3: Cross multiply
    31,593.38x = 67,947.19 × 67,947.19
  4. Step 4: Simplify right side
    31,593.38x = 4,616,820,289.16
  5. Step 5: Solve for x
    x = 4,616,820,289.16/31,593.38
  6. Step 6: Final answer
    x = 146,132.54

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.