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Finding the Third Proportional to 41,671 and 64,542

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Solution

The third proportional to 41,671 and 64,542 is: 99,965.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,671 : 64,542 = 64,542 : x
  2. Step 2: Convert to fraction form
    41,671/64,542 = 64,542/x
  3. Step 3: Cross multiply
    41,671x = 64,542 × 64,542
  4. Step 4: Simplify right side
    41,671x = 4,165,669,764
  5. Step 5: Solve for x
    x = 4,165,669,764/41,671
  6. Step 6: Final answer
    x = 99,965.68

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Why These Related Problems?

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