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Finding the Third Proportional to 5.75 and 14

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Solution

The third proportional to 5.75 and 14 is: 34.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.75 : 14 = 14 : x
  2. Step 2: Convert to fraction form
    5.75/14 = 14/x
  3. Step 3: Cross multiply
    5.75x = 14 × 14
  4. Step 4: Simplify right side
    5.75x = 196
  5. Step 5: Solve for x
    x = 196/5.75
  6. Step 6: Final answer
    x = 34.09

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These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.