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Finding the Third Proportional to 3,478 and 3,982

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Solution

The third proportional to 3,478 and 3,982 is: 4,559.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478 : 3,982 = 3,982 : x
  2. Step 2: Convert to fraction form
    3,478/3,982 = 3,982/x
  3. Step 3: Cross multiply
    3,478x = 3,982 × 3,982
  4. Step 4: Simplify right side
    3,478x = 15,856,324
  5. Step 5: Solve for x
    x = 15,856,324/3,478
  6. Step 6: Final answer
    x = 4,559.04

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.