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Finding the Third Proportional to 4,002 and 8,114

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Solution

The third proportional to 4,002 and 8,114 is: 16,451.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,002 : 8,114 = 8,114 : x
  2. Step 2: Convert to fraction form
    4,002/8,114 = 8,114/x
  3. Step 3: Cross multiply
    4,002x = 8,114 × 8,114
  4. Step 4: Simplify right side
    4,002x = 65,836,996
  5. Step 5: Solve for x
    x = 65,836,996/4,002
  6. Step 6: Final answer
    x = 16,451.02

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.