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Finding the Third Proportional to 19,022 and 38,620

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Solution

The third proportional to 19,022 and 38,620 is: 78,409.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,022 : 38,620 = 38,620 : x
  2. Step 2: Convert to fraction form
    19,022/38,620 = 38,620/x
  3. Step 3: Cross multiply
    19,022x = 38,620 × 38,620
  4. Step 4: Simplify right side
    19,022x = 1,491,504,400
  5. Step 5: Solve for x
    x = 1,491,504,400/19,022
  6. Step 6: Final answer
    x = 78,409.44

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.