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Finding the Third Proportional to 8.02 and 16.70

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Solution

The third proportional to 8.02 and 16.70 is: 34.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.02 : 16.70 = 16.70 : x
  2. Step 2: Convert to fraction form
    8.02/16.70 = 16.70/x
  3. Step 3: Cross multiply
    8.02x = 16.70 × 16.70
  4. Step 4: Simplify right side
    8.02x = 278.94
  5. Step 5: Solve for x
    x = 278.94/8.02
  6. Step 6: Final answer
    x = 34.79

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.