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Finding the Third Proportional to 16.13 and 21.52

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Solution

The third proportional to 16.13 and 21.52 is: 28.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.13 : 21.52 = 21.52 : x
  2. Step 2: Convert to fraction form
    16.13/21.52 = 21.52/x
  3. Step 3: Cross multiply
    16.13x = 21.52 × 21.52
  4. Step 4: Simplify right side
    16.13x = 462.92
  5. Step 5: Solve for x
    x = 462.92/16.13
  6. Step 6: Final answer
    x = 28.71

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.