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Finding the Third Proportional to 38,665 and 82,394

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Solution

The third proportional to 38,665 and 82,394 is: 175,579.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,665 : 82,394 = 82,394 : x
  2. Step 2: Convert to fraction form
    38,665/82,394 = 82,394/x
  3. Step 3: Cross multiply
    38,665x = 82,394 × 82,394
  4. Step 4: Simplify right side
    38,665x = 6,788,771,236
  5. Step 5: Solve for x
    x = 6,788,771,236/38,665
  6. Step 6: Final answer
    x = 175,579.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.