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Finding the Third Proportional to 36.44 and 54.63

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Solution

The third proportional to 36.44 and 54.63 is: 81.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.44 : 54.63 = 54.63 : x
  2. Step 2: Convert to fraction form
    36.44/54.63 = 54.63/x
  3. Step 3: Cross multiply
    36.44x = 54.63 × 54.63
  4. Step 4: Simplify right side
    36.44x = 2,983.89
  5. Step 5: Solve for x
    x = 2,983.89/36.44
  6. Step 6: Final answer
    x = 81.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.