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Finding the Third Proportional to 33,525.75 and 73,452.75

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Solution

The third proportional to 33,525.75 and 73,452.75 is: 160,930.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,525.75 : 73,452.75 = 73,452.75 : x
  2. Step 2: Convert to fraction form
    33,525.75/73,452.75 = 73,452.75/x
  3. Step 3: Cross multiply
    33,525.75x = 73,452.75 × 73,452.75
  4. Step 4: Simplify right side
    33,525.75x = 5,395,306,482.56
  5. Step 5: Solve for x
    x = 5,395,306,482.56/33,525.75
  6. Step 6: Final answer
    x = 160,930.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.