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Finding the Third Proportional to 3,843.39 and 8,405.33

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Solution

The third proportional to 3,843.39 and 8,405.33 is: 18,382.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.39 : 8,405.33 = 8,405.33 : x
  2. Step 2: Convert to fraction form
    3,843.39/8,405.33 = 8,405.33/x
  3. Step 3: Cross multiply
    3,843.39x = 8,405.33 × 8,405.33
  4. Step 4: Simplify right side
    3,843.39x = 70,649,606.56
  5. Step 5: Solve for x
    x = 70,649,606.56/3,843.39
  6. Step 6: Final answer
    x = 18,382.12

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Why These Related Problems?

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