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Finding the Third Proportional to 32,852.25 and 50,091.75

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Solution

The third proportional to 32,852.25 and 50,091.75 is: 76,377.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,852.25 : 50,091.75 = 50,091.75 : x
  2. Step 2: Convert to fraction form
    32,852.25/50,091.75 = 50,091.75/x
  3. Step 3: Cross multiply
    32,852.25x = 50,091.75 × 50,091.75
  4. Step 4: Simplify right side
    32,852.25x = 2,509,183,418.06
  5. Step 5: Solve for x
    x = 2,509,183,418.06/32,852.25
  6. Step 6: Final answer
    x = 76,377.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.