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Finding the Third Proportional to 33,136 and 50,568

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Solution

The third proportional to 33,136 and 50,568 is: 77,170.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,136 : 50,568 = 50,568 : x
  2. Step 2: Convert to fraction form
    33,136/50,568 = 50,568/x
  3. Step 3: Cross multiply
    33,136x = 50,568 × 50,568
  4. Step 4: Simplify right side
    33,136x = 2,557,122,624
  5. Step 5: Solve for x
    x = 2,557,122,624/33,136
  6. Step 6: Final answer
    x = 77,170.53

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.