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Finding the Third Proportional to 27,204 and 57,675

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Solution

The third proportional to 27,204 and 57,675 is: 122,276.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,204 : 57,675 = 57,675 : x
  2. Step 2: Convert to fraction form
    27,204/57,675 = 57,675/x
  3. Step 3: Cross multiply
    27,204x = 57,675 × 57,675
  4. Step 4: Simplify right side
    27,204x = 3,326,405,625
  5. Step 5: Solve for x
    x = 3,326,405,625/27,204
  6. Step 6: Final answer
    x = 122,276.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.