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Finding the Third Proportional to 33,822 and 48,074

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Solution

The third proportional to 33,822 and 48,074 is: 68,331.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,822 : 48,074 = 48,074 : x
  2. Step 2: Convert to fraction form
    33,822/48,074 = 48,074/x
  3. Step 3: Cross multiply
    33,822x = 48,074 × 48,074
  4. Step 4: Simplify right side
    33,822x = 2,311,109,476
  5. Step 5: Solve for x
    x = 2,311,109,476/33,822
  6. Step 6: Final answer
    x = 68,331.54

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.