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Finding the Third Proportional to 26,934 and 57,108

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Solution

The third proportional to 26,934 and 57,108 is: 121,085.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,934 : 57,108 = 57,108 : x
  2. Step 2: Convert to fraction form
    26,934/57,108 = 57,108/x
  3. Step 3: Cross multiply
    26,934x = 57,108 × 57,108
  4. Step 4: Simplify right side
    26,934x = 3,261,323,664
  5. Step 5: Solve for x
    x = 3,261,323,664/26,934
  6. Step 6: Final answer
    x = 121,085.75

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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.