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Finding the Third Proportional to 5,589 and 13,446

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Solution

The third proportional to 5,589 and 13,446 is: 32,348.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,589 : 13,446 = 13,446 : x
  2. Step 2: Convert to fraction form
    5,589/13,446 = 13,446/x
  3. Step 3: Cross multiply
    5,589x = 13,446 × 13,446
  4. Step 4: Simplify right side
    5,589x = 180,794,916
  5. Step 5: Solve for x
    x = 180,794,916/5,589
  6. Step 6: Final answer
    x = 32,348.35

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.