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Finding the Third Proportional to 26,233 and 41,689

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Solution

The third proportional to 26,233 and 41,689 is: 66,251.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,233 : 41,689 = 41,689 : x
  2. Step 2: Convert to fraction form
    26,233/41,689 = 41,689/x
  3. Step 3: Cross multiply
    26,233x = 41,689 × 41,689
  4. Step 4: Simplify right side
    26,233x = 1,737,972,721
  5. Step 5: Solve for x
    x = 1,737,972,721/26,233
  6. Step 6: Final answer
    x = 66,251.39

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.