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Finding the Third Proportional to 5.50 and 12.26

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Solution

The third proportional to 5.50 and 12.26 is: 27.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.50 : 12.26 = 12.26 : x
  2. Step 2: Convert to fraction form
    5.50/12.26 = 12.26/x
  3. Step 3: Cross multiply
    5.50x = 12.26 × 12.26
  4. Step 4: Simplify right side
    5.50x = 150.31
  5. Step 5: Solve for x
    x = 150.31/5.50
  6. Step 6: Final answer
    x = 27.35

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.