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Finding the Third Proportional to 19,231 and 39,994

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Solution

The third proportional to 19,231 and 39,994 is: 83,174.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,231 : 39,994 = 39,994 : x
  2. Step 2: Convert to fraction form
    19,231/39,994 = 39,994/x
  3. Step 3: Cross multiply
    19,231x = 39,994 × 39,994
  4. Step 4: Simplify right side
    19,231x = 1,599,520,036
  5. Step 5: Solve for x
    x = 1,599,520,036/19,231
  6. Step 6: Final answer
    x = 83,174.04

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.