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Finding the Third Proportional to 16.94 and 34.91

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Solution

The third proportional to 16.94 and 34.91 is: 71.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.94 : 34.91 = 34.91 : x
  2. Step 2: Convert to fraction form
    16.94/34.91 = 34.91/x
  3. Step 3: Cross multiply
    16.94x = 34.91 × 34.91
  4. Step 4: Simplify right side
    16.94x = 1,218.45
  5. Step 5: Solve for x
    x = 1,218.45/16.94
  6. Step 6: Final answer
    x = 71.94

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.