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Finding the Third Proportional to 6.59 and 14.02

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Solution

The third proportional to 6.59 and 14.02 is: 29.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.59 : 14.02 = 14.02 : x
  2. Step 2: Convert to fraction form
    6.59/14.02 = 14.02/x
  3. Step 3: Cross multiply
    6.59x = 14.02 × 14.02
  4. Step 4: Simplify right side
    6.59x = 196.44
  5. Step 5: Solve for x
    x = 196.44/6.59
  6. Step 6: Final answer
    x = 29.83

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.