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Finding the Third Proportional to 3,686 and 8,451

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Solution

The third proportional to 3,686 and 8,451 is: 19,375.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686 : 8,451 = 8,451 : x
  2. Step 2: Convert to fraction form
    3,686/8,451 = 8,451/x
  3. Step 3: Cross multiply
    3,686x = 8,451 × 8,451
  4. Step 4: Simplify right side
    3,686x = 71,419,401
  5. Step 5: Solve for x
    x = 71,419,401/3,686
  6. Step 6: Final answer
    x = 19,375.85

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.