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Finding the Third Proportional to 3,605.44 and 7,993.69

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Solution

The third proportional to 3,605.44 and 7,993.69 is: 17,722.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605.44 : 7,993.69 = 7,993.69 : x
  2. Step 2: Convert to fraction form
    3,605.44/7,993.69 = 7,993.69/x
  3. Step 3: Cross multiply
    3,605.44x = 7,993.69 × 7,993.69
  4. Step 4: Simplify right side
    3,605.44x = 63,899,039.85
  5. Step 5: Solve for x
    x = 63,899,039.85/3,605.44
  6. Step 6: Final answer
    x = 17,722.96

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.