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Finding the Third Proportional to 16.75 and 23.94

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Solution

The third proportional to 16.75 and 23.94 is: 34.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.75 : 23.94 = 23.94 : x
  2. Step 2: Convert to fraction form
    16.75/23.94 = 23.94/x
  3. Step 3: Cross multiply
    16.75x = 23.94 × 23.94
  4. Step 4: Simplify right side
    16.75x = 573.00
  5. Step 5: Solve for x
    x = 573.00/16.75
  6. Step 6: Final answer
    x = 34.21

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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.