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Finding the Third Proportional to 33,835 and 50,617.50

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Solution

The third proportional to 33,835 and 50,617.50 is: 75,724.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,835 : 50,617.50 = 50,617.50 : x
  2. Step 2: Convert to fraction form
    33,835/50,617.50 = 50,617.50/x
  3. Step 3: Cross multiply
    33,835x = 50,617.50 × 50,617.50
  4. Step 4: Simplify right side
    33,835x = 2,562,131,306.25
  5. Step 5: Solve for x
    x = 2,562,131,306.25/33,835
  6. Step 6: Final answer
    x = 75,724.29

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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.