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Finding the Third Proportional to 6.16 and 7.98

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Solution

The third proportional to 6.16 and 7.98 is: 10.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.16 : 7.98 = 7.98 : x
  2. Step 2: Convert to fraction form
    6.16/7.98 = 7.98/x
  3. Step 3: Cross multiply
    6.16x = 7.98 × 7.98
  4. Step 4: Simplify right side
    6.16x = 63.73
  5. Step 5: Solve for x
    x = 63.73/6.16
  6. Step 6: Final answer
    x = 10.35

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.