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Finding the Third Proportional to 33,269 and 71,868.75

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Solution

The third proportional to 33,269 and 71,868.75 is: 155,253.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,269 : 71,868.75 = 71,868.75 : x
  2. Step 2: Convert to fraction form
    33,269/71,868.75 = 71,868.75/x
  3. Step 3: Cross multiply
    33,269x = 71,868.75 × 71,868.75
  4. Step 4: Simplify right side
    33,269x = 5,165,117,226.56
  5. Step 5: Solve for x
    x = 5,165,117,226.56/33,269
  6. Step 6: Final answer
    x = 155,253.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.