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Finding the Third Proportional to 33,482 and 51,874

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Solution

The third proportional to 33,482 and 51,874 is: 80,368.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,482 : 51,874 = 51,874 : x
  2. Step 2: Convert to fraction form
    33,482/51,874 = 51,874/x
  3. Step 3: Cross multiply
    33,482x = 51,874 × 51,874
  4. Step 4: Simplify right side
    33,482x = 2,690,911,876
  5. Step 5: Solve for x
    x = 2,690,911,876/33,482
  6. Step 6: Final answer
    x = 80,368.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.