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Finding the Third Proportional to 41,957 and 58,663

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Solution

The third proportional to 41,957 and 58,663 is: 82,020.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,957 : 58,663 = 58,663 : x
  2. Step 2: Convert to fraction form
    41,957/58,663 = 58,663/x
  3. Step 3: Cross multiply
    41,957x = 58,663 × 58,663
  4. Step 4: Simplify right side
    41,957x = 3,441,347,569
  5. Step 5: Solve for x
    x = 3,441,347,569/41,957
  6. Step 6: Final answer
    x = 82,020.82

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.