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Finding the Third Proportional to 12,291 and 18,449

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Solution

The third proportional to 12,291 and 18,449 is: 27,692.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,291 : 18,449 = 18,449 : x
  2. Step 2: Convert to fraction form
    12,291/18,449 = 18,449/x
  3. Step 3: Cross multiply
    12,291x = 18,449 × 18,449
  4. Step 4: Simplify right side
    12,291x = 340,365,601
  5. Step 5: Solve for x
    x = 340,365,601/12,291
  6. Step 6: Final answer
    x = 27,692.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.