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Finding the Third Proportional to 33,777 and 50,544

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Solution

The third proportional to 33,777 and 50,544 is: 75,634.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,777 : 50,544 = 50,544 : x
  2. Step 2: Convert to fraction form
    33,777/50,544 = 50,544/x
  3. Step 3: Cross multiply
    33,777x = 50,544 × 50,544
  4. Step 4: Simplify right side
    33,777x = 2,554,695,936
  5. Step 5: Solve for x
    x = 2,554,695,936/33,777
  6. Step 6: Final answer
    x = 75,634.19

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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.