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Finding the Third Proportional to 4.11 and 6.36

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Solution

The third proportional to 4.11 and 6.36 is: 9.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.11 : 6.36 = 6.36 : x
  2. Step 2: Convert to fraction form
    4.11/6.36 = 6.36/x
  3. Step 3: Cross multiply
    4.11x = 6.36 × 6.36
  4. Step 4: Simplify right side
    4.11x = 40.49
  5. Step 5: Solve for x
    x = 40.49/4.11
  6. Step 6: Final answer
    x = 9.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.