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Finding the Third Proportional to 12,232.69 and 18,560.81

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Solution

The third proportional to 12,232.69 and 18,560.81 is: 28,162.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,232.69 : 18,560.81 = 18,560.81 : x
  2. Step 2: Convert to fraction form
    12,232.69/18,560.81 = 18,560.81/x
  3. Step 3: Cross multiply
    12,232.69x = 18,560.81 × 18,560.81
  4. Step 4: Simplify right side
    12,232.69x = 344,503,760.66
  5. Step 5: Solve for x
    x = 344,503,760.66/12,232.69
  6. Step 6: Final answer
    x = 28,162.56

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.