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Finding the Third Proportional to 8.30 and 16.17

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Solution

The third proportional to 8.30 and 16.17 is: 31.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.30 : 16.17 = 16.17 : x
  2. Step 2: Convert to fraction form
    8.30/16.17 = 16.17/x
  3. Step 3: Cross multiply
    8.30x = 16.17 × 16.17
  4. Step 4: Simplify right side
    8.30x = 261.53
  5. Step 5: Solve for x
    x = 261.53/8.30
  6. Step 6: Final answer
    x = 31.52

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.