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Finding the Third Proportional to 33,192 and 50,800

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Solution

The third proportional to 33,192 and 50,800 is: 77,748.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,192 : 50,800 = 50,800 : x
  2. Step 2: Convert to fraction form
    33,192/50,800 = 50,800/x
  3. Step 3: Cross multiply
    33,192x = 50,800 × 50,800
  4. Step 4: Simplify right side
    33,192x = 2,580,640,000
  5. Step 5: Solve for x
    x = 2,580,640,000/33,192
  6. Step 6: Final answer
    x = 77,748.86

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