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Finding the Third Proportional to 6.95 and 9.12

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Solution

The third proportional to 6.95 and 9.12 is: 11.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.95 : 9.12 = 9.12 : x
  2. Step 2: Convert to fraction form
    6.95/9.12 = 9.12/x
  3. Step 3: Cross multiply
    6.95x = 9.12 × 9.12
  4. Step 4: Simplify right side
    6.95x = 83.12
  5. Step 5: Solve for x
    x = 83.12/6.95
  6. Step 6: Final answer
    x = 11.96

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.