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Finding the Third Proportional to 41,166 and 62,637

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Solution

The third proportional to 41,166 and 62,637 is: 95,306.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,166 : 62,637 = 62,637 : x
  2. Step 2: Convert to fraction form
    41,166/62,637 = 62,637/x
  3. Step 3: Cross multiply
    41,166x = 62,637 × 62,637
  4. Step 4: Simplify right side
    41,166x = 3,923,393,769
  5. Step 5: Solve for x
    x = 3,923,393,769/41,166
  6. Step 6: Final answer
    x = 95,306.66

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.