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Finding the Third Proportional to 23,231.25 and 50,910.75

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Solution

The third proportional to 23,231.25 and 50,910.75 is: 111,569.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,231.25 : 50,910.75 = 50,910.75 : x
  2. Step 2: Convert to fraction form
    23,231.25/50,910.75 = 50,910.75/x
  3. Step 3: Cross multiply
    23,231.25x = 50,910.75 × 50,910.75
  4. Step 4: Simplify right side
    23,231.25x = 2,591,904,465.56
  5. Step 5: Solve for x
    x = 2,591,904,465.56/23,231.25
  6. Step 6: Final answer
    x = 111,569.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.