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Finding the Third Proportional to 13,204 and 18,578

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Solution

The third proportional to 13,204 and 18,578 is: 26,139.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,204 : 18,578 = 18,578 : x
  2. Step 2: Convert to fraction form
    13,204/18,578 = 18,578/x
  3. Step 3: Cross multiply
    13,204x = 18,578 × 18,578
  4. Step 4: Simplify right side
    13,204x = 345,142,084
  5. Step 5: Solve for x
    x = 345,142,084/13,204
  6. Step 6: Final answer
    x = 26,139.21

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.