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Finding the Third Proportional to 26.75 and 30.25

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Solution

The third proportional to 26.75 and 30.25 is: 34.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.75 : 30.25 = 30.25 : x
  2. Step 2: Convert to fraction form
    26.75/30.25 = 30.25/x
  3. Step 3: Cross multiply
    26.75x = 30.25 × 30.25
  4. Step 4: Simplify right side
    26.75x = 915.06
  5. Step 5: Solve for x
    x = 915.06/26.75
  6. Step 6: Final answer
    x = 34.21

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.