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Finding the Third Proportional to 33,279 and 50,264

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Solution

The third proportional to 33,279 and 50,264 is: 75,917.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,279 : 50,264 = 50,264 : x
  2. Step 2: Convert to fraction form
    33,279/50,264 = 50,264/x
  3. Step 3: Cross multiply
    33,279x = 50,264 × 50,264
  4. Step 4: Simplify right side
    33,279x = 2,526,469,696
  5. Step 5: Solve for x
    x = 2,526,469,696/33,279
  6. Step 6: Final answer
    x = 75,917.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.