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Finding the Third Proportional to 1,227.94 and 2,687.06

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Solution

The third proportional to 1,227.94 and 2,687.06 is: 5,880.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.94 : 2,687.06 = 2,687.06 : x
  2. Step 2: Convert to fraction form
    1,227.94/2,687.06 = 2,687.06/x
  3. Step 3: Cross multiply
    1,227.94x = 2,687.06 × 2,687.06
  4. Step 4: Simplify right side
    1,227.94x = 7,220,304.88
  5. Step 5: Solve for x
    x = 7,220,304.88/1,227.94
  6. Step 6: Final answer
    x = 5,880.03

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.