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Finding the Third Proportional to 12,589 and 27,149

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Solution

The third proportional to 12,589 and 27,149 is: 58,548.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,589 : 27,149 = 27,149 : x
  2. Step 2: Convert to fraction form
    12,589/27,149 = 27,149/x
  3. Step 3: Cross multiply
    12,589x = 27,149 × 27,149
  4. Step 4: Simplify right side
    12,589x = 737,068,201
  5. Step 5: Solve for x
    x = 737,068,201/12,589
  6. Step 6: Final answer
    x = 58,548.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.