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Finding the Third Proportional to 5.96 and 14.26

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Solution

The third proportional to 5.96 and 14.26 is: 34.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.96 : 14.26 = 14.26 : x
  2. Step 2: Convert to fraction form
    5.96/14.26 = 14.26/x
  3. Step 3: Cross multiply
    5.96x = 14.26 × 14.26
  4. Step 4: Simplify right side
    5.96x = 203.22
  5. Step 5: Solve for x
    x = 203.22/5.96
  6. Step 6: Final answer
    x = 34.12

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.