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Finding the Third Proportional to 22,209.75 and 48,571.31

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Solution

The third proportional to 22,209.75 and 48,571.31 is: 106,222.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,209.75 : 48,571.31 = 48,571.31 : x
  2. Step 2: Convert to fraction form
    22,209.75/48,571.31 = 48,571.31/x
  3. Step 3: Cross multiply
    22,209.75x = 48,571.31 × 48,571.31
  4. Step 4: Simplify right side
    22,209.75x = 2,359,172,397.97
  5. Step 5: Solve for x
    x = 2,359,172,397.97/22,209.75
  6. Step 6: Final answer
    x = 106,222.38

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