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Finding the Third Proportional to 33,652.75 and 73,418.25

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Solution

The third proportional to 33,652.75 and 73,418.25 is: 160,172.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,652.75 : 73,418.25 = 73,418.25 : x
  2. Step 2: Convert to fraction form
    33,652.75/73,418.25 = 73,418.25/x
  3. Step 3: Cross multiply
    33,652.75x = 73,418.25 × 73,418.25
  4. Step 4: Simplify right side
    33,652.75x = 5,390,239,433.06
  5. Step 5: Solve for x
    x = 5,390,239,433.06/33,652.75
  6. Step 6: Final answer
    x = 160,172.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.