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Finding the Third Proportional to 17,994 and 38,036

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Solution

The third proportional to 17,994 and 38,036 is: 80,401.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,994 : 38,036 = 38,036 : x
  2. Step 2: Convert to fraction form
    17,994/38,036 = 38,036/x
  3. Step 3: Cross multiply
    17,994x = 38,036 × 38,036
  4. Step 4: Simplify right side
    17,994x = 1,446,737,296
  5. Step 5: Solve for x
    x = 1,446,737,296/17,994
  6. Step 6: Final answer
    x = 80,401.09

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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.