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Finding the Third Proportional to 11.88 and 16.52

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Solution

The third proportional to 11.88 and 16.52 is: 22.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.88 : 16.52 = 16.52 : x
  2. Step 2: Convert to fraction form
    11.88/16.52 = 16.52/x
  3. Step 3: Cross multiply
    11.88x = 16.52 × 16.52
  4. Step 4: Simplify right side
    11.88x = 273.02
  5. Step 5: Solve for x
    x = 273.02/11.88
  6. Step 6: Final answer
    x = 22.98

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.