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Finding the Third Proportional to 33,002 and 44,835

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Solution

The third proportional to 33,002 and 44,835 is: 60,910.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,002 : 44,835 = 44,835 : x
  2. Step 2: Convert to fraction form
    33,002/44,835 = 44,835/x
  3. Step 3: Cross multiply
    33,002x = 44,835 × 44,835
  4. Step 4: Simplify right side
    33,002x = 2,010,177,225
  5. Step 5: Solve for x
    x = 2,010,177,225/33,002
  6. Step 6: Final answer
    x = 60,910.77

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.