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Finding the Third Proportional to 33,864 and 49,512

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Solution

The third proportional to 33,864 and 49,512 is: 72,390.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,864 : 49,512 = 49,512 : x
  2. Step 2: Convert to fraction form
    33,864/49,512 = 49,512/x
  3. Step 3: Cross multiply
    33,864x = 49,512 × 49,512
  4. Step 4: Simplify right side
    33,864x = 2,451,438,144
  5. Step 5: Solve for x
    x = 2,451,438,144/33,864
  6. Step 6: Final answer
    x = 72,390.68

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.