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Finding the Third Proportional to 7.94 and 16.18

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Solution

The third proportional to 7.94 and 16.18 is: 32.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.94 : 16.18 = 16.18 : x
  2. Step 2: Convert to fraction form
    7.94/16.18 = 16.18/x
  3. Step 3: Cross multiply
    7.94x = 16.18 × 16.18
  4. Step 4: Simplify right side
    7.94x = 261.78
  5. Step 5: Solve for x
    x = 261.78/7.94
  6. Step 6: Final answer
    x = 32.98

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.