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Finding the Third Proportional to 50,533.50 and 75,793.69

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Solution

The third proportional to 50,533.50 and 75,793.69 is: 113,680.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,533.50 : 75,793.69 = 75,793.69 : x
  2. Step 2: Convert to fraction form
    50,533.50/75,793.69 = 75,793.69/x
  3. Step 3: Cross multiply
    50,533.50x = 75,793.69 × 75,793.69
  4. Step 4: Simplify right side
    50,533.50x = 5,744,683,064.85
  5. Step 5: Solve for x
    x = 5,744,683,064.85/50,533.50
  6. Step 6: Final answer
    x = 113,680.69

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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.