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Finding the Third Proportional to 23,819.25 and 51,227.25

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Solution

The third proportional to 23,819.25 and 51,227.25 is: 110,172.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,819.25 : 51,227.25 = 51,227.25 : x
  2. Step 2: Convert to fraction form
    23,819.25/51,227.25 = 51,227.25/x
  3. Step 3: Cross multiply
    23,819.25x = 51,227.25 × 51,227.25
  4. Step 4: Simplify right side
    23,819.25x = 2,624,231,142.56
  5. Step 5: Solve for x
    x = 2,624,231,142.56/23,819.25
  6. Step 6: Final answer
    x = 110,172.70

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.