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Finding the Third Proportional to 16.97 and 24.23

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Solution

The third proportional to 16.97 and 24.23 is: 34.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.97 : 24.23 = 24.23 : x
  2. Step 2: Convert to fraction form
    16.97/24.23 = 24.23/x
  3. Step 3: Cross multiply
    16.97x = 24.23 × 24.23
  4. Step 4: Simplify right side
    16.97x = 587.30
  5. Step 5: Solve for x
    x = 587.30/16.97
  6. Step 6: Final answer
    x = 34.61

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.