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Finding the Third Proportional to 4,027 and 7,451

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Solution

The third proportional to 4,027 and 7,451 is: 13,786.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,027 : 7,451 = 7,451 : x
  2. Step 2: Convert to fraction form
    4,027/7,451 = 7,451/x
  3. Step 3: Cross multiply
    4,027x = 7,451 × 7,451
  4. Step 4: Simplify right side
    4,027x = 55,517,401
  5. Step 5: Solve for x
    x = 55,517,401/4,027
  6. Step 6: Final answer
    x = 13,786.29

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.