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Finding the Third Proportional to 16.82 and 28.68

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Solution

The third proportional to 16.82 and 28.68 is: 48.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.82 : 28.68 = 28.68 : x
  2. Step 2: Convert to fraction form
    16.82/28.68 = 28.68/x
  3. Step 3: Cross multiply
    16.82x = 28.68 × 28.68
  4. Step 4: Simplify right side
    16.82x = 822.68
  5. Step 5: Solve for x
    x = 822.68/16.82
  6. Step 6: Final answer
    x = 48.91

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.