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Finding the Third Proportional to 33,709.50 and 50,564.25

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Solution

The third proportional to 33,709.50 and 50,564.25 is: 75,846.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,709.50 : 50,564.25 = 50,564.25 : x
  2. Step 2: Convert to fraction form
    33,709.50/50,564.25 = 50,564.25/x
  3. Step 3: Cross multiply
    33,709.50x = 50,564.25 × 50,564.25
  4. Step 4: Simplify right side
    33,709.50x = 2,556,743,378.06
  5. Step 5: Solve for x
    x = 2,556,743,378.06/33,709.50
  6. Step 6: Final answer
    x = 75,846.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.