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Finding the Third Proportional to 26,797 and 41,123

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Solution

The third proportional to 26,797 and 41,123 is: 63,107.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,797 : 41,123 = 41,123 : x
  2. Step 2: Convert to fraction form
    26,797/41,123 = 41,123/x
  3. Step 3: Cross multiply
    26,797x = 41,123 × 41,123
  4. Step 4: Simplify right side
    26,797x = 1,691,101,129
  5. Step 5: Solve for x
    x = 1,691,101,129/26,797
  6. Step 6: Final answer
    x = 63,107.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.