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Finding the Third Proportional to 22,224.25 and 33,273.38

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Solution

The third proportional to 22,224.25 and 33,273.38 is: 49,815.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,224.25 : 33,273.38 = 33,273.38 : x
  2. Step 2: Convert to fraction form
    22,224.25/33,273.38 = 33,273.38/x
  3. Step 3: Cross multiply
    22,224.25x = 33,273.38 × 33,273.38
  4. Step 4: Simplify right side
    22,224.25x = 1,107,117,483.89
  5. Step 5: Solve for x
    x = 1,107,117,483.89/22,224.25
  6. Step 6: Final answer
    x = 49,815.74

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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.