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Finding the Third Proportional to 8.25 and 14.06

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Solution

The third proportional to 8.25 and 14.06 is: 23.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.25 : 14.06 = 14.06 : x
  2. Step 2: Convert to fraction form
    8.25/14.06 = 14.06/x
  3. Step 3: Cross multiply
    8.25x = 14.06 × 14.06
  4. Step 4: Simplify right side
    8.25x = 197.75
  5. Step 5: Solve for x
    x = 197.75/8.25
  6. Step 6: Final answer
    x = 23.97

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.