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Finding the Third Proportional to 12,772.69 and 27,481.78

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Solution

The third proportional to 12,772.69 and 27,481.78 is: 59,129.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,772.69 : 27,481.78 = 27,481.78 : x
  2. Step 2: Convert to fraction form
    12,772.69/27,481.78 = 27,481.78/x
  3. Step 3: Cross multiply
    12,772.69x = 27,481.78 × 27,481.78
  4. Step 4: Simplify right side
    12,772.69x = 755,248,300.67
  5. Step 5: Solve for x
    x = 755,248,300.67/12,772.69
  6. Step 6: Final answer
    x = 59,129.94

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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.