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Finding the Third Proportional to 12,591 and 27,571

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Solution

The third proportional to 12,591 and 27,571 is: 60,373.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,591 : 27,571 = 27,571 : x
  2. Step 2: Convert to fraction form
    12,591/27,571 = 27,571/x
  3. Step 3: Cross multiply
    12,591x = 27,571 × 27,571
  4. Step 4: Simplify right side
    12,591x = 760,160,041
  5. Step 5: Solve for x
    x = 760,160,041/12,591
  6. Step 6: Final answer
    x = 60,373.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.