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Finding the Third Proportional to 24,926 and 41,542

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Solution

The third proportional to 24,926 and 41,542 is: 69,234.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,926 : 41,542 = 41,542 : x
  2. Step 2: Convert to fraction form
    24,926/41,542 = 41,542/x
  3. Step 3: Cross multiply
    24,926x = 41,542 × 41,542
  4. Step 4: Simplify right side
    24,926x = 1,725,737,764
  5. Step 5: Solve for x
    x = 1,725,737,764/24,926
  6. Step 6: Final answer
    x = 69,234.44

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.