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Finding the Third Proportional to 10,991.25 and 24,222.75

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Solution

The third proportional to 10,991.25 and 24,222.75 is: 53,382.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,991.25 : 24,222.75 = 24,222.75 : x
  2. Step 2: Convert to fraction form
    10,991.25/24,222.75 = 24,222.75/x
  3. Step 3: Cross multiply
    10,991.25x = 24,222.75 × 24,222.75
  4. Step 4: Simplify right side
    10,991.25x = 586,741,617.56
  5. Step 5: Solve for x
    x = 586,741,617.56/10,991.25
  6. Step 6: Final answer
    x = 53,382.61

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.