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Finding the Third Proportional to 17,974 and 38,000

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Solution

The third proportional to 17,974 and 38,000 is: 80,338.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,974 : 38,000 = 38,000 : x
  2. Step 2: Convert to fraction form
    17,974/38,000 = 38,000/x
  3. Step 3: Cross multiply
    17,974x = 38,000 × 38,000
  4. Step 4: Simplify right side
    17,974x = 1,444,000,000
  5. Step 5: Solve for x
    x = 1,444,000,000/17,974
  6. Step 6: Final answer
    x = 80,338.27

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.