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Finding the Third Proportional to 3,982 and 8,147

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Solution

The third proportional to 3,982 and 8,147 is: 16,668.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982 : 8,147 = 8,147 : x
  2. Step 2: Convert to fraction form
    3,982/8,147 = 8,147/x
  3. Step 3: Cross multiply
    3,982x = 8,147 × 8,147
  4. Step 4: Simplify right side
    3,982x = 66,373,609
  5. Step 5: Solve for x
    x = 66,373,609/3,982
  6. Step 6: Final answer
    x = 16,668.41

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.