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Finding the Third Proportional to 33,809 and 49,757

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Solution

The third proportional to 33,809 and 49,757 is: 73,227.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,809 : 49,757 = 49,757 : x
  2. Step 2: Convert to fraction form
    33,809/49,757 = 49,757/x
  3. Step 3: Cross multiply
    33,809x = 49,757 × 49,757
  4. Step 4: Simplify right side
    33,809x = 2,475,759,049
  5. Step 5: Solve for x
    x = 2,475,759,049/33,809
  6. Step 6: Final answer
    x = 73,227.81

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.