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Finding the Third Proportional to 38,384 and 82,812

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Solution

The third proportional to 38,384 and 82,812 is: 178,663.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,384 : 82,812 = 82,812 : x
  2. Step 2: Convert to fraction form
    38,384/82,812 = 82,812/x
  3. Step 3: Cross multiply
    38,384x = 82,812 × 82,812
  4. Step 4: Simplify right side
    38,384x = 6,857,827,344
  5. Step 5: Solve for x
    x = 6,857,827,344/38,384
  6. Step 6: Final answer
    x = 178,663.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.