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Finding the Third Proportional to 5,497 and 11,649

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Solution

The third proportional to 5,497 and 11,649 is: 24,686.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,497 : 11,649 = 11,649 : x
  2. Step 2: Convert to fraction form
    5,497/11,649 = 11,649/x
  3. Step 3: Cross multiply
    5,497x = 11,649 × 11,649
  4. Step 4: Simplify right side
    5,497x = 135,699,201
  5. Step 5: Solve for x
    x = 135,699,201/5,497
  6. Step 6: Final answer
    x = 24,686.05

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.