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Finding the Third Proportional to 33,276 and 50,049

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Solution

The third proportional to 33,276 and 50,049 is: 75,276.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,276 : 50,049 = 50,049 : x
  2. Step 2: Convert to fraction form
    33,276/50,049 = 50,049/x
  3. Step 3: Cross multiply
    33,276x = 50,049 × 50,049
  4. Step 4: Simplify right side
    33,276x = 2,504,902,401
  5. Step 5: Solve for x
    x = 2,504,902,401/33,276
  6. Step 6: Final answer
    x = 75,276.55

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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.