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Finding the Third Proportional to 18,794 and 29,266

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Solution

The third proportional to 18,794 and 29,266 is: 45,572.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,794 : 29,266 = 29,266 : x
  2. Step 2: Convert to fraction form
    18,794/29,266 = 29,266/x
  3. Step 3: Cross multiply
    18,794x = 29,266 × 29,266
  4. Step 4: Simplify right side
    18,794x = 856,498,756
  5. Step 5: Solve for x
    x = 856,498,756/18,794
  6. Step 6: Final answer
    x = 45,572.99

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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.