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Finding the Third Proportional to 26,843 and 57,151

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Solution

The third proportional to 26,843 and 57,151 is: 121,679.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,843 : 57,151 = 57,151 : x
  2. Step 2: Convert to fraction form
    26,843/57,151 = 57,151/x
  3. Step 3: Cross multiply
    26,843x = 57,151 × 57,151
  4. Step 4: Simplify right side
    26,843x = 3,266,236,801
  5. Step 5: Solve for x
    x = 3,266,236,801/26,843
  6. Step 6: Final answer
    x = 121,679.28

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.