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Finding the Third Proportional to 4,519.69 and 6,951.66

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Solution

The third proportional to 4,519.69 and 6,951.66 is: 10,692.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,519.69 : 6,951.66 = 6,951.66 : x
  2. Step 2: Convert to fraction form
    4,519.69/6,951.66 = 6,951.66/x
  3. Step 3: Cross multiply
    4,519.69x = 6,951.66 × 6,951.66
  4. Step 4: Simplify right side
    4,519.69x = 48,325,524.62
  5. Step 5: Solve for x
    x = 48,325,524.62/4,519.69
  6. Step 6: Final answer
    x = 10,692.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.