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Finding the Third Proportional to 33,651 and 49,825

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Solution

The third proportional to 33,651 and 49,825 is: 73,772.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,651 : 49,825 = 49,825 : x
  2. Step 2: Convert to fraction form
    33,651/49,825 = 49,825/x
  3. Step 3: Cross multiply
    33,651x = 49,825 × 49,825
  4. Step 4: Simplify right side
    33,651x = 2,482,530,625
  5. Step 5: Solve for x
    x = 2,482,530,625/33,651
  6. Step 6: Final answer
    x = 73,772.86

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.