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Finding the Third Proportional to 13,204 and 20,562

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Solution

The third proportional to 13,204 and 20,562 is: 32,020.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,204 : 20,562 = 20,562 : x
  2. Step 2: Convert to fraction form
    13,204/20,562 = 20,562/x
  3. Step 3: Cross multiply
    13,204x = 20,562 × 20,562
  4. Step 4: Simplify right side
    13,204x = 422,795,844
  5. Step 5: Solve for x
    x = 422,795,844/13,204
  6. Step 6: Final answer
    x = 32,020.29

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.