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Finding the Third Proportional to 33,812 and 52,176

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Solution

The third proportional to 33,812 and 52,176 is: 80,513.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,812 : 52,176 = 52,176 : x
  2. Step 2: Convert to fraction form
    33,812/52,176 = 52,176/x
  3. Step 3: Cross multiply
    33,812x = 52,176 × 52,176
  4. Step 4: Simplify right side
    33,812x = 2,722,334,976
  5. Step 5: Solve for x
    x = 2,722,334,976/33,812
  6. Step 6: Final answer
    x = 80,513.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.