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Finding the Third Proportional to 38,497.50 and 80,019

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Solution

The third proportional to 38,497.50 and 80,019 is: 166,323.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,497.50 : 80,019 = 80,019 : x
  2. Step 2: Convert to fraction form
    38,497.50/80,019 = 80,019/x
  3. Step 3: Cross multiply
    38,497.50x = 80,019 × 80,019
  4. Step 4: Simplify right side
    38,497.50x = 6,403,040,361
  5. Step 5: Solve for x
    x = 6,403,040,361/38,497.50
  6. Step 6: Final answer
    x = 166,323.54

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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.