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Finding the Third Proportional to 4,002 and 4,353

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Solution

The third proportional to 4,002 and 4,353 is: 4,734.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,002 : 4,353 = 4,353 : x
  2. Step 2: Convert to fraction form
    4,002/4,353 = 4,353/x
  3. Step 3: Cross multiply
    4,002x = 4,353 × 4,353
  4. Step 4: Simplify right side
    4,002x = 18,948,609
  5. Step 5: Solve for x
    x = 18,948,609/4,002
  6. Step 6: Final answer
    x = 4,734.78

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.