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Finding the Third Proportional to 4,361 and 9,451

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Solution

The third proportional to 4,361 and 9,451 is: 20,481.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,361 : 9,451 = 9,451 : x
  2. Step 2: Convert to fraction form
    4,361/9,451 = 9,451/x
  3. Step 3: Cross multiply
    4,361x = 9,451 × 9,451
  4. Step 4: Simplify right side
    4,361x = 89,321,401
  5. Step 5: Solve for x
    x = 89,321,401/4,361
  6. Step 6: Final answer
    x = 20,481.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.