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Finding the Third Proportional to 3,727.69 and 6,286.78

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Solution

The third proportional to 3,727.69 and 6,286.78 is: 10,602.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,727.69 : 6,286.78 = 6,286.78 : x
  2. Step 2: Convert to fraction form
    3,727.69/6,286.78 = 6,286.78/x
  3. Step 3: Cross multiply
    3,727.69x = 6,286.78 × 6,286.78
  4. Step 4: Simplify right side
    3,727.69x = 39,523,618.49
  5. Step 5: Solve for x
    x = 39,523,618.49/3,727.69
  6. Step 6: Final answer
    x = 10,602.72

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Why These Related Problems?

These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.