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Finding the Third Proportional to 36.63 and 68

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Solution

The third proportional to 36.63 and 68 is: 126.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.63 : 68 = 68 : x
  2. Step 2: Convert to fraction form
    36.63/68 = 68/x
  3. Step 3: Cross multiply
    36.63x = 68 × 68
  4. Step 4: Simplify right side
    36.63x = 4,624
  5. Step 5: Solve for x
    x = 4,624/36.63
  6. Step 6: Final answer
    x = 126.25

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.