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Finding the Third Proportional to 5,497 and 8,525

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Solution

The third proportional to 5,497 and 8,525 is: 13,220.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,497 : 8,525 = 8,525 : x
  2. Step 2: Convert to fraction form
    5,497/8,525 = 8,525/x
  3. Step 3: Cross multiply
    5,497x = 8,525 × 8,525
  4. Step 4: Simplify right side
    5,497x = 72,675,625
  5. Step 5: Solve for x
    x = 72,675,625/5,497
  6. Step 6: Final answer
    x = 13,220.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.