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Finding the Third Proportional to 8.35 and 10.95

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Solution

The third proportional to 8.35 and 10.95 is: 14.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.35 : 10.95 = 10.95 : x
  2. Step 2: Convert to fraction form
    8.35/10.95 = 10.95/x
  3. Step 3: Cross multiply
    8.35x = 10.95 × 10.95
  4. Step 4: Simplify right side
    8.35x = 119.97
  5. Step 5: Solve for x
    x = 119.97/8.35
  6. Step 6: Final answer
    x = 14.37

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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.