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Finding the Third Proportional to 26.96 and 41.24

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Solution

The third proportional to 26.96 and 41.24 is: 63.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.96 : 41.24 = 41.24 : x
  2. Step 2: Convert to fraction form
    26.96/41.24 = 41.24/x
  3. Step 3: Cross multiply
    26.96x = 41.24 × 41.24
  4. Step 4: Simplify right side
    26.96x = 1,700.92
  5. Step 5: Solve for x
    x = 1,700.92/26.96
  6. Step 6: Final answer
    x = 63.09

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.