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Finding the Third Proportional to 50,584.50 and 75,876.75

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Solution

The third proportional to 50,584.50 and 75,876.75 is: 113,815.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,584.50 : 75,876.75 = 75,876.75 : x
  2. Step 2: Convert to fraction form
    50,584.50/75,876.75 = 75,876.75/x
  3. Step 3: Cross multiply
    50,584.50x = 75,876.75 × 75,876.75
  4. Step 4: Simplify right side
    50,584.50x = 5,757,281,190.56
  5. Step 5: Solve for x
    x = 5,757,281,190.56/50,584.50
  6. Step 6: Final answer
    x = 113,815.13

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Similar ratio
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1.5x scale

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.