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Finding the Third Proportional to 33,180 and 48,792

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Solution

The third proportional to 33,180 and 48,792 is: 71,749.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,180 : 48,792 = 48,792 : x
  2. Step 2: Convert to fraction form
    33,180/48,792 = 48,792/x
  3. Step 3: Cross multiply
    33,180x = 48,792 × 48,792
  4. Step 4: Simplify right side
    33,180x = 2,380,659,264
  5. Step 5: Solve for x
    x = 2,380,659,264/33,180
  6. Step 6: Final answer
    x = 71,749.83

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.