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Finding the Third Proportional to 26,933 and 57,531

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Solution

The third proportional to 26,933 and 57,531 is: 122,890.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,933 : 57,531 = 57,531 : x
  2. Step 2: Convert to fraction form
    26,933/57,531 = 57,531/x
  3. Step 3: Cross multiply
    26,933x = 57,531 × 57,531
  4. Step 4: Simplify right side
    26,933x = 3,309,815,961
  5. Step 5: Solve for x
    x = 3,309,815,961/26,933
  6. Step 6: Final answer
    x = 122,890.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.