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Finding the Third Proportional to 22,033.69 and 33,099.75

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Solution

The third proportional to 22,033.69 and 33,099.75 is: 49,723.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,033.69 : 33,099.75 = 33,099.75 : x
  2. Step 2: Convert to fraction form
    22,033.69/33,099.75 = 33,099.75/x
  3. Step 3: Cross multiply
    22,033.69x = 33,099.75 × 33,099.75
  4. Step 4: Simplify right side
    22,033.69x = 1,095,593,450.06
  5. Step 5: Solve for x
    x = 1,095,593,450.06/22,033.69
  6. Step 6: Final answer
    x = 49,723.56

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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.