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Finding the Third Proportional to 39,976 and 62,144

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Solution

The third proportional to 39,976 and 62,144 is: 96,604.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,976 : 62,144 = 62,144 : x
  2. Step 2: Convert to fraction form
    39,976/62,144 = 62,144/x
  3. Step 3: Cross multiply
    39,976x = 62,144 × 62,144
  4. Step 4: Simplify right side
    39,976x = 3,861,876,736
  5. Step 5: Solve for x
    x = 3,861,876,736/39,976
  6. Step 6: Final answer
    x = 96,604.88

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.