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Finding the Third Proportional to 12,940.31 and 27,996.75

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Solution

The third proportional to 12,940.31 and 27,996.75 is: 60,571.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,940.31 : 27,996.75 = 27,996.75 : x
  2. Step 2: Convert to fraction form
    12,940.31/27,996.75 = 27,996.75/x
  3. Step 3: Cross multiply
    12,940.31x = 27,996.75 × 27,996.75
  4. Step 4: Simplify right side
    12,940.31x = 783,818,010.56
  5. Step 5: Solve for x
    x = 783,818,010.56/12,940.31
  6. Step 6: Final answer
    x = 60,571.80

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.