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Finding the Third Proportional to 36,727 and 80,374

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Solution

The third proportional to 36,727 and 80,374 is: 175,891.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,727 : 80,374 = 80,374 : x
  2. Step 2: Convert to fraction form
    36,727/80,374 = 80,374/x
  3. Step 3: Cross multiply
    36,727x = 80,374 × 80,374
  4. Step 4: Simplify right side
    36,727x = 6,459,979,876
  5. Step 5: Solve for x
    x = 6,459,979,876/36,727
  6. Step 6: Final answer
    x = 175,891.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.