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Finding the Third Proportional to 33,112 and 50,096

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Solution

The third proportional to 33,112 and 50,096 is: 75,791.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,112 : 50,096 = 50,096 : x
  2. Step 2: Convert to fraction form
    33,112/50,096 = 50,096/x
  3. Step 3: Cross multiply
    33,112x = 50,096 × 50,096
  4. Step 4: Simplify right side
    33,112x = 2,509,609,216
  5. Step 5: Solve for x
    x = 2,509,609,216/33,112
  6. Step 6: Final answer
    x = 75,791.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.