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Finding the Third Proportional to 27,979 and 57,251

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Solution

The third proportional to 27,979 and 57,251 is: 117,147.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,979 : 57,251 = 57,251 : x
  2. Step 2: Convert to fraction form
    27,979/57,251 = 57,251/x
  3. Step 3: Cross multiply
    27,979x = 57,251 × 57,251
  4. Step 4: Simplify right side
    27,979x = 3,277,677,001
  5. Step 5: Solve for x
    x = 3,277,677,001/27,979
  6. Step 6: Final answer
    x = 117,147.75

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.