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Finding the Third Proportional to 16.82 and 36.57

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Solution

The third proportional to 16.82 and 36.57 is: 79.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.82 : 36.57 = 36.57 : x
  2. Step 2: Convert to fraction form
    16.82/36.57 = 36.57/x
  3. Step 3: Cross multiply
    16.82x = 36.57 × 36.57
  4. Step 4: Simplify right side
    16.82x = 1,337.63
  5. Step 5: Solve for x
    x = 1,337.63/16.82
  6. Step 6: Final answer
    x = 79.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.