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Finding the Third Proportional to 11.48 and 16.27

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Solution

The third proportional to 11.48 and 16.27 is: 23.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.48 : 16.27 = 16.27 : x
  2. Step 2: Convert to fraction form
    11.48/16.27 = 16.27/x
  3. Step 3: Cross multiply
    11.48x = 16.27 × 16.27
  4. Step 4: Simplify right side
    11.48x = 264.57
  5. Step 5: Solve for x
    x = 264.57/11.48
  6. Step 6: Final answer
    x = 23.04

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.