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Finding the Third Proportional to 2,183.68 and 3,405.26

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Solution

The third proportional to 2,183.68 and 3,405.26 is: 5,310.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.68 : 3,405.26 = 3,405.26 : x
  2. Step 2: Convert to fraction form
    2,183.68/3,405.26 = 3,405.26/x
  3. Step 3: Cross multiply
    2,183.68x = 3,405.26 × 3,405.26
  4. Step 4: Simplify right side
    2,183.68x = 11,595,815.69
  5. Step 5: Solve for x
    x = 11,595,815.69/2,183.68
  6. Step 6: Final answer
    x = 5,310.22

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.