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Finding the Third Proportional to 5.92 and 12.95

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Solution

The third proportional to 5.92 and 12.95 is: 28.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.92 : 12.95 = 12.95 : x
  2. Step 2: Convert to fraction form
    5.92/12.95 = 12.95/x
  3. Step 3: Cross multiply
    5.92x = 12.95 × 12.95
  4. Step 4: Simplify right side
    5.92x = 167.62
  5. Step 5: Solve for x
    x = 167.62/5.92
  6. Step 6: Final answer
    x = 28.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.