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Finding the Third Proportional to 8,649 and 9,549

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Solution

The third proportional to 8,649 and 9,549 is: 10,542.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,649 : 9,549 = 9,549 : x
  2. Step 2: Convert to fraction form
    8,649/9,549 = 9,549/x
  3. Step 3: Cross multiply
    8,649x = 9,549 × 9,549
  4. Step 4: Simplify right side
    8,649x = 91,183,401
  5. Step 5: Solve for x
    x = 91,183,401/8,649
  6. Step 6: Final answer
    x = 10,542.65

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.