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Finding the Third Proportional to 636.69 and 1,367.88

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Solution

The third proportional to 636.69 and 1,367.88 is: 2,938.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.69 : 1,367.88 = 1,367.88 : x
  2. Step 2: Convert to fraction form
    636.69/1,367.88 = 1,367.88/x
  3. Step 3: Cross multiply
    636.69x = 1,367.88 × 1,367.88
  4. Step 4: Simplify right side
    636.69x = 1,871,082.02
  5. Step 5: Solve for x
    x = 1,871,082.02/636.69
  6. Step 6: Final answer
    x = 2,938.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.