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Finding the Third Proportional to 41,412 and 58,542

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Solution

The third proportional to 41,412 and 58,542 is: 82,757.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,412 : 58,542 = 58,542 : x
  2. Step 2: Convert to fraction form
    41,412/58,542 = 58,542/x
  3. Step 3: Cross multiply
    41,412x = 58,542 × 58,542
  4. Step 4: Simplify right side
    41,412x = 3,427,165,764
  5. Step 5: Solve for x
    x = 3,427,165,764/41,412
  6. Step 6: Final answer
    x = 82,757.79

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.