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Finding the Third Proportional to 26.11 and 37.61

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Solution

The third proportional to 26.11 and 37.61 is: 54.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.11 : 37.61 = 37.61 : x
  2. Step 2: Convert to fraction form
    26.11/37.61 = 37.61/x
  3. Step 3: Cross multiply
    26.11x = 37.61 × 37.61
  4. Step 4: Simplify right side
    26.11x = 1,414.47
  5. Step 5: Solve for x
    x = 1,414.47/26.11
  6. Step 6: Final answer
    x = 54.17

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.