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Finding the Third Proportional to 2.16 and 5.95

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Solution

The third proportional to 2.16 and 5.95 is: 16.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.16 : 5.95 = 5.95 : x
  2. Step 2: Convert to fraction form
    2.16/5.95 = 5.95/x
  3. Step 3: Cross multiply
    2.16x = 5.95 × 5.95
  4. Step 4: Simplify right side
    2.16x = 35.44
  5. Step 5: Solve for x
    x = 35.44/2.16
  6. Step 6: Final answer
    x = 16.37

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Why These Related Problems?

These problems maintain the same ratio (2.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.