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Finding the Third Proportional to 33,480.75 and 50,653

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Solution

The third proportional to 33,480.75 and 50,653 is: 76,632.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,480.75 : 50,653 = 50,653 : x
  2. Step 2: Convert to fraction form
    33,480.75/50,653 = 50,653/x
  3. Step 3: Cross multiply
    33,480.75x = 50,653 × 50,653
  4. Step 4: Simplify right side
    33,480.75x = 2,565,726,409
  5. Step 5: Solve for x
    x = 2,565,726,409/33,480.75
  6. Step 6: Final answer
    x = 76,632.88

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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.