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Finding the Third Proportional to 26,882 and 57,676

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Solution

The third proportional to 26,882 and 57,676 is: 123,745.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,882 : 57,676 = 57,676 : x
  2. Step 2: Convert to fraction form
    26,882/57,676 = 57,676/x
  3. Step 3: Cross multiply
    26,882x = 57,676 × 57,676
  4. Step 4: Simplify right side
    26,882x = 3,326,520,976
  5. Step 5: Solve for x
    x = 3,326,520,976/26,882
  6. Step 6: Final answer
    x = 123,745.29

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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.