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Finding the Third Proportional to 16.82 and 26.03

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Solution

The third proportional to 16.82 and 26.03 is: 40.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.82 : 26.03 = 26.03 : x
  2. Step 2: Convert to fraction form
    16.82/26.03 = 26.03/x
  3. Step 3: Cross multiply
    16.82x = 26.03 × 26.03
  4. Step 4: Simplify right side
    16.82x = 677.53
  5. Step 5: Solve for x
    x = 677.53/16.82
  6. Step 6: Final answer
    x = 40.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.