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Finding the Third Proportional to 36.49 and 62.96

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Solution

The third proportional to 36.49 and 62.96 is: 108.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.49 : 62.96 = 62.96 : x
  2. Step 2: Convert to fraction form
    36.49/62.96 = 62.96/x
  3. Step 3: Cross multiply
    36.49x = 62.96 × 62.96
  4. Step 4: Simplify right side
    36.49x = 3,964.57
  5. Step 5: Solve for x
    x = 3,964.57/36.49
  6. Step 6: Final answer
    x = 108.64

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.