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Finding the Third Proportional to 12,591 and 27,114

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Solution

The third proportional to 12,591 and 27,114 is: 58,388.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,591 : 27,114 = 27,114 : x
  2. Step 2: Convert to fraction form
    12,591/27,114 = 27,114/x
  3. Step 3: Cross multiply
    12,591x = 27,114 × 27,114
  4. Step 4: Simplify right side
    12,591x = 735,168,996
  5. Step 5: Solve for x
    x = 735,168,996/12,591
  6. Step 6: Final answer
    x = 58,388.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.