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Finding the Third Proportional to 6,367.36 and 13,991.48

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Solution

The third proportional to 6,367.36 and 13,991.48 is: 30,744.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,367.36 : 13,991.48 = 13,991.48 : x
  2. Step 2: Convert to fraction form
    6,367.36/13,991.48 = 13,991.48/x
  3. Step 3: Cross multiply
    6,367.36x = 13,991.48 × 13,991.48
  4. Step 4: Simplify right side
    6,367.36x = 195,761,635.02
  5. Step 5: Solve for x
    x = 195,761,635.02/6,367.36
  6. Step 6: Final answer
    x = 30,744.56

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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.