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Finding the Third Proportional to 7,794 and 18,204

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Solution

The third proportional to 7,794 and 18,204 is: 42,518.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,794 : 18,204 = 18,204 : x
  2. Step 2: Convert to fraction form
    7,794/18,204 = 18,204/x
  3. Step 3: Cross multiply
    7,794x = 18,204 × 18,204
  4. Step 4: Simplify right side
    7,794x = 331,385,616
  5. Step 5: Solve for x
    x = 331,385,616/7,794
  6. Step 6: Final answer
    x = 42,518.04

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.