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Finding the Third Proportional to 33,108 and 49,965.75

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Solution

The third proportional to 33,108 and 49,965.75 is: 75,407.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,108 : 49,965.75 = 49,965.75 : x
  2. Step 2: Convert to fraction form
    33,108/49,965.75 = 49,965.75/x
  3. Step 3: Cross multiply
    33,108x = 49,965.75 × 49,965.75
  4. Step 4: Simplify right side
    33,108x = 2,496,576,173.06
  5. Step 5: Solve for x
    x = 2,496,576,173.06/33,108
  6. Step 6: Final answer
    x = 75,407.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.