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Finding the Third Proportional to 33,469.75 and 49,279

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Solution

The third proportional to 33,469.75 and 49,279 is: 72,555.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,469.75 : 49,279 = 49,279 : x
  2. Step 2: Convert to fraction form
    33,469.75/49,279 = 49,279/x
  3. Step 3: Cross multiply
    33,469.75x = 49,279 × 49,279
  4. Step 4: Simplify right side
    33,469.75x = 2,428,419,841
  5. Step 5: Solve for x
    x = 2,428,419,841/33,469.75
  6. Step 6: Final answer
    x = 72,555.66

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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.