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Finding the Third Proportional to 33,659 and 49,027

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Solution

The third proportional to 33,659 and 49,027 is: 71,411.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,659 : 49,027 = 49,027 : x
  2. Step 2: Convert to fraction form
    33,659/49,027 = 49,027/x
  3. Step 3: Cross multiply
    33,659x = 49,027 × 49,027
  4. Step 4: Simplify right side
    33,659x = 2,403,646,729
  5. Step 5: Solve for x
    x = 2,403,646,729/33,659
  6. Step 6: Final answer
    x = 71,411.71

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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.