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Finding the Third Proportional to 38,468 and 82,687

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Solution

The third proportional to 38,468 and 82,687 is: 177,735.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,468 : 82,687 = 82,687 : x
  2. Step 2: Convert to fraction form
    38,468/82,687 = 82,687/x
  3. Step 3: Cross multiply
    38,468x = 82,687 × 82,687
  4. Step 4: Simplify right side
    38,468x = 6,837,139,969
  5. Step 5: Solve for x
    x = 6,837,139,969/38,468
  6. Step 6: Final answer
    x = 177,735.78

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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.