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Finding the Third Proportional to 38,234 and 82,367

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Solution

The third proportional to 38,234 and 82,367 is: 177,442.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,234 : 82,367 = 82,367 : x
  2. Step 2: Convert to fraction form
    38,234/82,367 = 82,367/x
  3. Step 3: Cross multiply
    38,234x = 82,367 × 82,367
  4. Step 4: Simplify right side
    38,234x = 6,784,322,689
  5. Step 5: Solve for x
    x = 6,784,322,689/38,234
  6. Step 6: Final answer
    x = 177,442.14

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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.