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Finding the Third Proportional to 5.96 and 12.92

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Solution

The third proportional to 5.96 and 12.92 is: 28.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.96 : 12.92 = 12.92 : x
  2. Step 2: Convert to fraction form
    5.96/12.92 = 12.92/x
  3. Step 3: Cross multiply
    5.96x = 12.92 × 12.92
  4. Step 4: Simplify right side
    5.96x = 166.82
  5. Step 5: Solve for x
    x = 166.82/5.96
  6. Step 6: Final answer
    x = 28.00

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.