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Finding the Third Proportional to 33,268.75 and 73,919.75

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Solution

The third proportional to 33,268.75 and 73,919.75 is: 164,242.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,268.75 : 73,919.75 = 73,919.75 : x
  2. Step 2: Convert to fraction form
    33,268.75/73,919.75 = 73,919.75/x
  3. Step 3: Cross multiply
    33,268.75x = 73,919.75 × 73,919.75
  4. Step 4: Simplify right side
    33,268.75x = 5,464,129,440.06
  5. Step 5: Solve for x
    x = 5,464,129,440.06/33,268.75
  6. Step 6: Final answer
    x = 164,242.10

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.