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Finding the Third Proportional to 5.96 and 14.10

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Solution

The third proportional to 5.96 and 14.10 is: 33.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.96 : 14.10 = 14.10 : x
  2. Step 2: Convert to fraction form
    5.96/14.10 = 14.10/x
  3. Step 3: Cross multiply
    5.96x = 14.10 × 14.10
  4. Step 4: Simplify right side
    5.96x = 198.95
  5. Step 5: Solve for x
    x = 198.95/5.96
  6. Step 6: Final answer
    x = 33.37

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.