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Finding the Third Proportional to 2,727 and 4,183.31

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Solution

The third proportional to 2,727 and 4,183.31 is: 6,417.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,727 : 4,183.31 = 4,183.31 : x
  2. Step 2: Convert to fraction form
    2,727/4,183.31 = 4,183.31/x
  3. Step 3: Cross multiply
    2,727x = 4,183.31 × 4,183.31
  4. Step 4: Simplify right side
    2,727x = 17,500,103.47
  5. Step 5: Solve for x
    x = 17,500,103.47/2,727
  6. Step 6: Final answer
    x = 6,417.35

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.