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Finding the Third Proportional to 39,654 and 82,597

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Solution

The third proportional to 39,654 and 82,597 is: 172,044.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,654 : 82,597 = 82,597 : x
  2. Step 2: Convert to fraction form
    39,654/82,597 = 82,597/x
  3. Step 3: Cross multiply
    39,654x = 82,597 × 82,597
  4. Step 4: Simplify right side
    39,654x = 6,822,264,409
  5. Step 5: Solve for x
    x = 6,822,264,409/39,654
  6. Step 6: Final answer
    x = 172,044.80

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.