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Finding the Third Proportional to 47,396.25 and 71,286.75

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Solution

The third proportional to 47,396.25 and 71,286.75 is: 107,219.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,396.25 : 71,286.75 = 71,286.75 : x
  2. Step 2: Convert to fraction form
    47,396.25/71,286.75 = 71,286.75/x
  3. Step 3: Cross multiply
    47,396.25x = 71,286.75 × 71,286.75
  4. Step 4: Simplify right side
    47,396.25x = 5,081,800,725.56
  5. Step 5: Solve for x
    x = 5,081,800,725.56/47,396.25
  6. Step 6: Final answer
    x = 107,219.47

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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.