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Finding the Third Proportional to 13,649 and 28,747

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Solution

The third proportional to 13,649 and 28,747 is: 60,545.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,649 : 28,747 = 28,747 : x
  2. Step 2: Convert to fraction form
    13,649/28,747 = 28,747/x
  3. Step 3: Cross multiply
    13,649x = 28,747 × 28,747
  4. Step 4: Simplify right side
    13,649x = 826,390,009
  5. Step 5: Solve for x
    x = 826,390,009/13,649
  6. Step 6: Final answer
    x = 60,545.83

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.