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Finding the Third Proportional to 12,772.69 and 30,906.56

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Solution

The third proportional to 12,772.69 and 30,906.56 is: 74,785.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,772.69 : 30,906.56 = 30,906.56 : x
  2. Step 2: Convert to fraction form
    12,772.69/30,906.56 = 30,906.56/x
  3. Step 3: Cross multiply
    12,772.69x = 30,906.56 × 30,906.56
  4. Step 4: Simplify right side
    12,772.69x = 955,215,605.57
  5. Step 5: Solve for x
    x = 955,215,605.57/12,772.69
  6. Step 6: Final answer
    x = 74,785.80

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.