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Finding the Third Proportional to 5,211.84 and 10,855.69

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Solution

The third proportional to 5,211.84 and 10,855.69 is: 22,611.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,211.84 : 10,855.69 = 10,855.69 : x
  2. Step 2: Convert to fraction form
    5,211.84/10,855.69 = 10,855.69/x
  3. Step 3: Cross multiply
    5,211.84x = 10,855.69 × 10,855.69
  4. Step 4: Simplify right side
    5,211.84x = 117,845,951.10
  5. Step 5: Solve for x
    x = 117,845,951.10/5,211.84
  6. Step 6: Final answer
    x = 22,611.18

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.