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Finding the Third Proportional to 33,449 and 50,011

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Solution

The third proportional to 33,449 and 50,011 is: 74,773.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,449 : 50,011 = 50,011 : x
  2. Step 2: Convert to fraction form
    33,449/50,011 = 50,011/x
  3. Step 3: Cross multiply
    33,449x = 50,011 × 50,011
  4. Step 4: Simplify right side
    33,449x = 2,501,100,121
  5. Step 5: Solve for x
    x = 2,501,100,121/33,449
  6. Step 6: Final answer
    x = 74,773.54

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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.