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Finding the Third Proportional to 26,696 and 41,876

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Solution

The third proportional to 26,696 and 41,876 is: 65,687.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,696 : 41,876 = 41,876 : x
  2. Step 2: Convert to fraction form
    26,696/41,876 = 41,876/x
  3. Step 3: Cross multiply
    26,696x = 41,876 × 41,876
  4. Step 4: Simplify right side
    26,696x = 1,753,599,376
  5. Step 5: Solve for x
    x = 1,753,599,376/26,696
  6. Step 6: Final answer
    x = 65,687.72

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.