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Finding the Third Proportional to 33,211 and 49,853

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Solution

The third proportional to 33,211 and 49,853 is: 74,834.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,211 : 49,853 = 49,853 : x
  2. Step 2: Convert to fraction form
    33,211/49,853 = 49,853/x
  3. Step 3: Cross multiply
    33,211x = 49,853 × 49,853
  4. Step 4: Simplify right side
    33,211x = 2,485,321,609
  5. Step 5: Solve for x
    x = 2,485,321,609/33,211
  6. Step 6: Final answer
    x = 74,834.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.