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Finding the Third Proportional to 12,361 and 27,181

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Solution

The third proportional to 12,361 and 27,181 is: 59,769.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,361 : 27,181 = 27,181 : x
  2. Step 2: Convert to fraction form
    12,361/27,181 = 27,181/x
  3. Step 3: Cross multiply
    12,361x = 27,181 × 27,181
  4. Step 4: Simplify right side
    12,361x = 738,806,761
  5. Step 5: Solve for x
    x = 738,806,761/12,361
  6. Step 6: Final answer
    x = 59,769.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.