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Finding the Third Proportional to 5,814 and 8,451

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Solution

The third proportional to 5,814 and 8,451 is: 12,284.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,814 : 8,451 = 8,451 : x
  2. Step 2: Convert to fraction form
    5,814/8,451 = 8,451/x
  3. Step 3: Cross multiply
    5,814x = 8,451 × 8,451
  4. Step 4: Simplify right side
    5,814x = 71,419,401
  5. Step 5: Solve for x
    x = 71,419,401/5,814
  6. Step 6: Final answer
    x = 12,284.04

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.