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Finding the Third Proportional to 33,007.50 and 57,894.75

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Solution

The third proportional to 33,007.50 and 57,894.75 is: 101,546.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,007.50 : 57,894.75 = 57,894.75 : x
  2. Step 2: Convert to fraction form
    33,007.50/57,894.75 = 57,894.75/x
  3. Step 3: Cross multiply
    33,007.50x = 57,894.75 × 57,894.75
  4. Step 4: Simplify right side
    33,007.50x = 3,351,802,077.56
  5. Step 5: Solve for x
    x = 3,351,802,077.56/33,007.50
  6. Step 6: Final answer
    x = 101,546.68

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.