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Finding the Third Proportional to 36,930 and 80,542

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Solution

The third proportional to 36,930 and 80,542 is: 175,657.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,930 : 80,542 = 80,542 : x
  2. Step 2: Convert to fraction form
    36,930/80,542 = 80,542/x
  3. Step 3: Cross multiply
    36,930x = 80,542 × 80,542
  4. Step 4: Simplify right side
    36,930x = 6,487,013,764
  5. Step 5: Solve for x
    x = 6,487,013,764/36,930
  6. Step 6: Final answer
    x = 175,657.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.