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Finding the Third Proportional to 21,867 and 48,019.50

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Solution

The third proportional to 21,867 and 48,019.50 is: 105,449.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,867 : 48,019.50 = 48,019.50 : x
  2. Step 2: Convert to fraction form
    21,867/48,019.50 = 48,019.50/x
  3. Step 3: Cross multiply
    21,867x = 48,019.50 × 48,019.50
  4. Step 4: Simplify right side
    21,867x = 2,305,872,380.25
  5. Step 5: Solve for x
    x = 2,305,872,380.25/21,867
  6. Step 6: Final answer
    x = 105,449.87

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.