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Finding the Third Proportional to 13,832 and 19,884

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Solution

The third proportional to 13,832 and 19,884 is: 28,583.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,832 : 19,884 = 19,884 : x
  2. Step 2: Convert to fraction form
    13,832/19,884 = 19,884/x
  3. Step 3: Cross multiply
    13,832x = 19,884 × 19,884
  4. Step 4: Simplify right side
    13,832x = 395,373,456
  5. Step 5: Solve for x
    x = 395,373,456/13,832
  6. Step 6: Final answer
    x = 28,583.97

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.