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Finding the Third Proportional to 33,264 and 49,764.75

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Solution

The third proportional to 33,264 and 49,764.75 is: 74,450.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,264 : 49,764.75 = 49,764.75 : x
  2. Step 2: Convert to fraction form
    33,264/49,764.75 = 49,764.75/x
  3. Step 3: Cross multiply
    33,264x = 49,764.75 × 49,764.75
  4. Step 4: Simplify right side
    33,264x = 2,476,530,342.56
  5. Step 5: Solve for x
    x = 2,476,530,342.56/33,264
  6. Step 6: Final answer
    x = 74,450.77

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