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Finding the Third Proportional to 5,211.84 and 11,241.70

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Solution

The third proportional to 5,211.84 and 11,241.70 is: 24,247.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,211.84 : 11,241.70 = 11,241.70 : x
  2. Step 2: Convert to fraction form
    5,211.84/11,241.70 = 11,241.70/x
  3. Step 3: Cross multiply
    5,211.84x = 11,241.70 × 11,241.70
  4. Step 4: Simplify right side
    5,211.84x = 126,375,889.15
  5. Step 5: Solve for x
    x = 126,375,889.15/5,211.84
  6. Step 6: Final answer
    x = 24,247.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.