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Finding the Third Proportional to 38,042 and 87,449

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Solution

The third proportional to 38,042 and 87,449 is: 201,023.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,042 : 87,449 = 87,449 : x
  2. Step 2: Convert to fraction form
    38,042/87,449 = 87,449/x
  3. Step 3: Cross multiply
    38,042x = 87,449 × 87,449
  4. Step 4: Simplify right side
    38,042x = 7,647,327,601
  5. Step 5: Solve for x
    x = 7,647,327,601/38,042
  6. Step 6: Final answer
    x = 201,023.28

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.