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Finding the Third Proportional to 5.75 and 8.25

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Solution

The third proportional to 5.75 and 8.25 is: 11.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.75 : 8.25 = 8.25 : x
  2. Step 2: Convert to fraction form
    5.75/8.25 = 8.25/x
  3. Step 3: Cross multiply
    5.75x = 8.25 × 8.25
  4. Step 4: Simplify right side
    5.75x = 68.06
  5. Step 5: Solve for x
    x = 68.06/5.75
  6. Step 6: Final answer
    x = 11.84

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.