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Finding the Third Proportional to 33,512 and 51,924

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Solution

The third proportional to 33,512 and 51,924 is: 80,451.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,512 : 51,924 = 51,924 : x
  2. Step 2: Convert to fraction form
    33,512/51,924 = 51,924/x
  3. Step 3: Cross multiply
    33,512x = 51,924 × 51,924
  4. Step 4: Simplify right side
    33,512x = 2,696,101,776
  5. Step 5: Solve for x
    x = 2,696,101,776/33,512
  6. Step 6: Final answer
    x = 80,451.83

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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.