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Finding the Third Proportional to 18,564 and 40,204

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Solution

The third proportional to 18,564 and 40,204 is: 87,069.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,564 : 40,204 = 40,204 : x
  2. Step 2: Convert to fraction form
    18,564/40,204 = 40,204/x
  3. Step 3: Cross multiply
    18,564x = 40,204 × 40,204
  4. Step 4: Simplify right side
    18,564x = 1,616,361,616
  5. Step 5: Solve for x
    x = 1,616,361,616/18,564
  6. Step 6: Final answer
    x = 87,069.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.