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Finding the Third Proportional to 33,970.75 and 50,874.75

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Solution

The third proportional to 33,970.75 and 50,874.75 is: 76,190.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,970.75 : 50,874.75 = 50,874.75 : x
  2. Step 2: Convert to fraction form
    33,970.75/50,874.75 = 50,874.75/x
  3. Step 3: Cross multiply
    33,970.75x = 50,874.75 × 50,874.75
  4. Step 4: Simplify right side
    33,970.75x = 2,588,240,187.56
  5. Step 5: Solve for x
    x = 2,588,240,187.56/33,970.75
  6. Step 6: Final answer
    x = 76,190.26

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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.