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Finding the Third Proportional to 2,743.13 and 4,243.31

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Solution

The third proportional to 2,743.13 and 4,243.31 is: 6,563.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,743.13 : 4,243.31 = 4,243.31 : x
  2. Step 2: Convert to fraction form
    2,743.13/4,243.31 = 4,243.31/x
  3. Step 3: Cross multiply
    2,743.13x = 4,243.31 × 4,243.31
  4. Step 4: Simplify right side
    2,743.13x = 18,005,700.97
  5. Step 5: Solve for x
    x = 18,005,700.97/2,743.13
  6. Step 6: Final answer
    x = 6,563.94

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.