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Finding the Third Proportional to 6.36 and 8.95

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Solution

The third proportional to 6.36 and 8.95 is: 12.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.36 : 8.95 = 8.95 : x
  2. Step 2: Convert to fraction form
    6.36/8.95 = 8.95/x
  3. Step 3: Cross multiply
    6.36x = 8.95 × 8.95
  4. Step 4: Simplify right side
    6.36x = 80.11
  5. Step 5: Solve for x
    x = 80.11/6.36
  6. Step 6: Final answer
    x = 12.59

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.