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Finding the Third Proportional to 26.44 and 41.63

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Solution

The third proportional to 26.44 and 41.63 is: 65.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.44 : 41.63 = 41.63 : x
  2. Step 2: Convert to fraction form
    26.44/41.63 = 41.63/x
  3. Step 3: Cross multiply
    26.44x = 41.63 × 41.63
  4. Step 4: Simplify right side
    26.44x = 1,732.64
  5. Step 5: Solve for x
    x = 1,732.64/26.44
  6. Step 6: Final answer
    x = 65.54

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.