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Finding the Third Proportional to 22,235 and 33,273.75

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Solution

The third proportional to 22,235 and 33,273.75 is: 49,792.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,235 : 33,273.75 = 33,273.75 : x
  2. Step 2: Convert to fraction form
    22,235/33,273.75 = 33,273.75/x
  3. Step 3: Cross multiply
    22,235x = 33,273.75 × 33,273.75
  4. Step 4: Simplify right side
    22,235x = 1,107,142,439.06
  5. Step 5: Solve for x
    x = 1,107,142,439.06/22,235
  6. Step 6: Final answer
    x = 49,792.78

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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.