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Finding the Third Proportional to 33,251 and 49,762

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Solution

The third proportional to 33,251 and 49,762 is: 74,471.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,251 : 49,762 = 49,762 : x
  2. Step 2: Convert to fraction form
    33,251/49,762 = 49,762/x
  3. Step 3: Cross multiply
    33,251x = 49,762 × 49,762
  4. Step 4: Simplify right side
    33,251x = 2,476,256,644
  5. Step 5: Solve for x
    x = 2,476,256,644/33,251
  6. Step 6: Final answer
    x = 74,471.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.