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Finding the Third Proportional to 36.19 and 49.44

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Solution

The third proportional to 36.19 and 49.44 is: 67.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.19 : 49.44 = 49.44 : x
  2. Step 2: Convert to fraction form
    36.19/49.44 = 49.44/x
  3. Step 3: Cross multiply
    36.19x = 49.44 × 49.44
  4. Step 4: Simplify right side
    36.19x = 2,444.07
  5. Step 5: Solve for x
    x = 2,444.07/36.19
  6. Step 6: Final answer
    x = 67.54

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.