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Finding the Third Proportional to 33,682 and 49,868

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Solution

The third proportional to 33,682 and 49,868 is: 73,832.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,682 : 49,868 = 49,868 : x
  2. Step 2: Convert to fraction form
    33,682/49,868 = 49,868/x
  3. Step 3: Cross multiply
    33,682x = 49,868 × 49,868
  4. Step 4: Simplify right side
    33,682x = 2,486,817,424
  5. Step 5: Solve for x
    x = 2,486,817,424/33,682
  6. Step 6: Final answer
    x = 73,832.24

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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.