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Finding the Third Proportional to 33,269 and 51,611.75

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Solution

The third proportional to 33,269 and 51,611.75 is: 80,067.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,269 : 51,611.75 = 51,611.75 : x
  2. Step 2: Convert to fraction form
    33,269/51,611.75 = 51,611.75/x
  3. Step 3: Cross multiply
    33,269x = 51,611.75 × 51,611.75
  4. Step 4: Simplify right side
    33,269x = 2,663,772,738.06
  5. Step 5: Solve for x
    x = 2,663,772,738.06/33,269
  6. Step 6: Final answer
    x = 80,067.71

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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.