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Finding the Third Proportional to 16.82 and 25.37

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Solution

The third proportional to 16.82 and 25.37 is: 38.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.82 : 25.37 = 25.37 : x
  2. Step 2: Convert to fraction form
    16.82/25.37 = 25.37/x
  3. Step 3: Cross multiply
    16.82x = 25.37 × 25.37
  4. Step 4: Simplify right side
    16.82x = 643.78
  5. Step 5: Solve for x
    x = 643.78/16.82
  6. Step 6: Final answer
    x = 38.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.