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Finding the Third Proportional to 18,801 and 39,019.50

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Solution

The third proportional to 18,801 and 39,019.50 is: 80,980.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,801 : 39,019.50 = 39,019.50 : x
  2. Step 2: Convert to fraction form
    18,801/39,019.50 = 39,019.50/x
  3. Step 3: Cross multiply
    18,801x = 39,019.50 × 39,019.50
  4. Step 4: Simplify right side
    18,801x = 1,522,521,380.25
  5. Step 5: Solve for x
    x = 1,522,521,380.25/18,801
  6. Step 6: Final answer
    x = 80,980.87

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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.