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Finding the Third Proportional to 19,662 and 41,542

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Solution

The third proportional to 19,662 and 41,542 is: 87,770.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,662 : 41,542 = 41,542 : x
  2. Step 2: Convert to fraction form
    19,662/41,542 = 41,542/x
  3. Step 3: Cross multiply
    19,662x = 41,542 × 41,542
  4. Step 4: Simplify right side
    19,662x = 1,725,737,764
  5. Step 5: Solve for x
    x = 1,725,737,764/19,662
  6. Step 6: Final answer
    x = 87,770.20

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.