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Finding the Third Proportional to 2,183.68 and 3,086.94

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Solution

The third proportional to 2,183.68 and 3,086.94 is: 4,363.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.68 : 3,086.94 = 3,086.94 : x
  2. Step 2: Convert to fraction form
    2,183.68/3,086.94 = 3,086.94/x
  3. Step 3: Cross multiply
    2,183.68x = 3,086.94 × 3,086.94
  4. Step 4: Simplify right side
    2,183.68x = 9,529,207.25
  5. Step 5: Solve for x
    x = 9,529,207.25/2,183.68
  6. Step 6: Final answer
    x = 4,363.82

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.