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Finding the Third Proportional to 4 and 8.25

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Solution

The third proportional to 4 and 8.25 is: 17.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4 : 8.25 = 8.25 : x
  2. Step 2: Convert to fraction form
    4/8.25 = 8.25/x
  3. Step 3: Cross multiply
    4x = 8.25 × 8.25
  4. Step 4: Simplify right side
    4x = 68.06
  5. Step 5: Solve for x
    x = 68.06/4
  6. Step 6: Final answer
    x = 17.02

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.