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Finding the Third Proportional to 5,369.44 and 11,107.31

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Solution

The third proportional to 5,369.44 and 11,107.31 is: 22,976.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,369.44 : 11,107.31 = 11,107.31 : x
  2. Step 2: Convert to fraction form
    5,369.44/11,107.31 = 11,107.31/x
  3. Step 3: Cross multiply
    5,369.44x = 11,107.31 × 11,107.31
  4. Step 4: Simplify right side
    5,369.44x = 123,372,390.97
  5. Step 5: Solve for x
    x = 123,372,390.97/5,369.44
  6. Step 6: Final answer
    x = 22,976.78

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.