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Finding the Third Proportional to 12,224.25 and 18,453.38

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Solution

The third proportional to 12,224.25 and 18,453.38 is: 27,856.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,224.25 : 18,453.38 = 18,453.38 : x
  2. Step 2: Convert to fraction form
    12,224.25/18,453.38 = 18,453.38/x
  3. Step 3: Cross multiply
    12,224.25x = 18,453.38 × 18,453.38
  4. Step 4: Simplify right side
    12,224.25x = 340,527,048.89
  5. Step 5: Solve for x
    x = 340,527,048.89/12,224.25
  6. Step 6: Final answer
    x = 27,856.68

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.