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Finding the Third Proportional to 22,796.25 and 49,236.75

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Solution

The third proportional to 22,796.25 and 49,236.75 is: 106,344.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,796.25 : 49,236.75 = 49,236.75 : x
  2. Step 2: Convert to fraction form
    22,796.25/49,236.75 = 49,236.75/x
  3. Step 3: Cross multiply
    22,796.25x = 49,236.75 × 49,236.75
  4. Step 4: Simplify right side
    22,796.25x = 2,424,257,550.56
  5. Step 5: Solve for x
    x = 2,424,257,550.56/22,796.25
  6. Step 6: Final answer
    x = 106,344.58

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.