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Finding the Third Proportional to 26,866 and 40,891

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Solution

The third proportional to 26,866 and 40,891 is: 62,237.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,866 : 40,891 = 40,891 : x
  2. Step 2: Convert to fraction form
    26,866/40,891 = 40,891/x
  3. Step 3: Cross multiply
    26,866x = 40,891 × 40,891
  4. Step 4: Simplify right side
    26,866x = 1,672,073,881
  5. Step 5: Solve for x
    x = 1,672,073,881/26,866
  6. Step 6: Final answer
    x = 62,237.54

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.