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Finding the Third Proportional to 9,042 and 18,204

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Solution

The third proportional to 9,042 and 18,204 is: 36,649.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,042 : 18,204 = 18,204 : x
  2. Step 2: Convert to fraction form
    9,042/18,204 = 18,204/x
  3. Step 3: Cross multiply
    9,042x = 18,204 × 18,204
  4. Step 4: Simplify right side
    9,042x = 331,385,616
  5. Step 5: Solve for x
    x = 331,385,616/9,042
  6. Step 6: Final answer
    x = 36,649.59

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.