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Finding the Third Proportional to 19,469 and 28,204

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Solution

The third proportional to 19,469 and 28,204 is: 40,858.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,469 : 28,204 = 28,204 : x
  2. Step 2: Convert to fraction form
    19,469/28,204 = 28,204/x
  3. Step 3: Cross multiply
    19,469x = 28,204 × 28,204
  4. Step 4: Simplify right side
    19,469x = 795,465,616
  5. Step 5: Solve for x
    x = 795,465,616/19,469
  6. Step 6: Final answer
    x = 40,858.06

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.