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Finding the Third Proportional to 36.91 and 49.68

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Solution

The third proportional to 36.91 and 49.68 is: 66.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.91 : 49.68 = 49.68 : x
  2. Step 2: Convert to fraction form
    36.91/49.68 = 49.68/x
  3. Step 3: Cross multiply
    36.91x = 49.68 × 49.68
  4. Step 4: Simplify right side
    36.91x = 2,467.68
  5. Step 5: Solve for x
    x = 2,467.68/36.91
  6. Step 6: Final answer
    x = 66.85

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.