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Finding the Third Proportional to 3,982 and 6,325

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Solution

The third proportional to 3,982 and 6,325 is: 10,046.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982 : 6,325 = 6,325 : x
  2. Step 2: Convert to fraction form
    3,982/6,325 = 6,325/x
  3. Step 3: Cross multiply
    3,982x = 6,325 × 6,325
  4. Step 4: Simplify right side
    3,982x = 40,005,625
  5. Step 5: Solve for x
    x = 40,005,625/3,982
  6. Step 6: Final answer
    x = 10,046.62

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.