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Finding the Third Proportional to 13,814 and 21,198

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Solution

The third proportional to 13,814 and 21,198 is: 32,528.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,814 : 21,198 = 21,198 : x
  2. Step 2: Convert to fraction form
    13,814/21,198 = 21,198/x
  3. Step 3: Cross multiply
    13,814x = 21,198 × 21,198
  4. Step 4: Simplify right side
    13,814x = 449,355,204
  5. Step 5: Solve for x
    x = 449,355,204/13,814
  6. Step 6: Final answer
    x = 32,528.97

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.