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Finding the Third Proportional to 16.97 and 37.03

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Solution

The third proportional to 16.97 and 37.03 is: 80.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.97 : 37.03 = 37.03 : x
  2. Step 2: Convert to fraction form
    16.97/37.03 = 37.03/x
  3. Step 3: Cross multiply
    16.97x = 37.03 × 37.03
  4. Step 4: Simplify right side
    16.97x = 1,371.31
  5. Step 5: Solve for x
    x = 1,371.31/16.97
  6. Step 6: Final answer
    x = 80.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.