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Finding the Third Proportional to 37,417 and 80,311

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Solution

The third proportional to 37,417 and 80,311 is: 172,377.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,417 : 80,311 = 80,311 : x
  2. Step 2: Convert to fraction form
    37,417/80,311 = 80,311/x
  3. Step 3: Cross multiply
    37,417x = 80,311 × 80,311
  4. Step 4: Simplify right side
    37,417x = 6,449,856,721
  5. Step 5: Solve for x
    x = 6,449,856,721/37,417
  6. Step 6: Final answer
    x = 172,377.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.