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Finding the Third Proportional to 27,231 and 55,614

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Solution

The third proportional to 27,231 and 55,614 is: 113,580.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,231 : 55,614 = 55,614 : x
  2. Step 2: Convert to fraction form
    27,231/55,614 = 55,614/x
  3. Step 3: Cross multiply
    27,231x = 55,614 × 55,614
  4. Step 4: Simplify right side
    27,231x = 3,092,916,996
  5. Step 5: Solve for x
    x = 3,092,916,996/27,231
  6. Step 6: Final answer
    x = 113,580.74

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.