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Finding the Third Proportional to 47,823 and 71,850.75

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Solution

The third proportional to 47,823 and 71,850.75 is: 107,950.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,823 : 71,850.75 = 71,850.75 : x
  2. Step 2: Convert to fraction form
    47,823/71,850.75 = 71,850.75/x
  3. Step 3: Cross multiply
    47,823x = 71,850.75 × 71,850.75
  4. Step 4: Simplify right side
    47,823x = 5,162,530,275.56
  5. Step 5: Solve for x
    x = 5,162,530,275.56/47,823
  6. Step 6: Final answer
    x = 107,950.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.