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Finding the Third Proportional to 6.11 and 9.87

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Solution

The third proportional to 6.11 and 9.87 is: 15.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.11 : 9.87 = 9.87 : x
  2. Step 2: Convert to fraction form
    6.11/9.87 = 9.87/x
  3. Step 3: Cross multiply
    6.11x = 9.87 × 9.87
  4. Step 4: Simplify right side
    6.11x = 97.49
  5. Step 5: Solve for x
    x = 97.49/6.11
  6. Step 6: Final answer
    x = 15.95

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.