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Finding the Third Proportional to 1,993.36 and 4,382.86

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Solution

The third proportional to 1,993.36 and 4,382.86 is: 9,636.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993.36 : 4,382.86 = 4,382.86 : x
  2. Step 2: Convert to fraction form
    1,993.36/4,382.86 = 4,382.86/x
  3. Step 3: Cross multiply
    1,993.36x = 4,382.86 × 4,382.86
  4. Step 4: Simplify right side
    1,993.36x = 19,209,456.30
  5. Step 5: Solve for x
    x = 19,209,456.30/1,993.36
  6. Step 6: Final answer
    x = 9,636.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.