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Finding the Third Proportional to 3.50 and 8.25

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Solution

The third proportional to 3.50 and 8.25 is: 19.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.50 : 8.25 = 8.25 : x
  2. Step 2: Convert to fraction form
    3.50/8.25 = 8.25/x
  3. Step 3: Cross multiply
    3.50x = 8.25 × 8.25
  4. Step 4: Simplify right side
    3.50x = 68.06
  5. Step 5: Solve for x
    x = 68.06/3.50
  6. Step 6: Final answer
    x = 19.45

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.