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Finding the Third Proportional to 33,265.75 and 73,913.75

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Solution

The third proportional to 33,265.75 and 73,913.75 is: 164,230.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,265.75 : 73,913.75 = 73,913.75 : x
  2. Step 2: Convert to fraction form
    33,265.75/73,913.75 = 73,913.75/x
  3. Step 3: Cross multiply
    33,265.75x = 73,913.75 × 73,913.75
  4. Step 4: Simplify right side
    33,265.75x = 5,463,242,439.06
  5. Step 5: Solve for x
    x = 5,463,242,439.06/33,265.75
  6. Step 6: Final answer
    x = 164,230.25

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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.