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Finding the Third Proportional to 12.09 and 26.44

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Solution

The third proportional to 12.09 and 26.44 is: 57.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.09 : 26.44 = 26.44 : x
  2. Step 2: Convert to fraction form
    12.09/26.44 = 26.44/x
  3. Step 3: Cross multiply
    12.09x = 26.44 × 26.44
  4. Step 4: Simplify right side
    12.09x = 698.94
  5. Step 5: Solve for x
    x = 698.94/12.09
  6. Step 6: Final answer
    x = 57.79

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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.