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Finding the Third Proportional to 3,951 and 8,449

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Solution

The third proportional to 3,951 and 8,449 is: 18,067.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,951 : 8,449 = 8,449 : x
  2. Step 2: Convert to fraction form
    3,951/8,449 = 8,449/x
  3. Step 3: Cross multiply
    3,951x = 8,449 × 8,449
  4. Step 4: Simplify right side
    3,951x = 71,385,601
  5. Step 5: Solve for x
    x = 71,385,601/3,951
  6. Step 6: Final answer
    x = 18,067.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.