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Finding the Third Proportional to 38,234 and 82,327

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Solution

The third proportional to 38,234 and 82,327 is: 177,269.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,234 : 82,327 = 82,327 : x
  2. Step 2: Convert to fraction form
    38,234/82,327 = 82,327/x
  3. Step 3: Cross multiply
    38,234x = 82,327 × 82,327
  4. Step 4: Simplify right side
    38,234x = 6,777,734,929
  5. Step 5: Solve for x
    x = 6,777,734,929/38,234
  6. Step 6: Final answer
    x = 177,269.84

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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.