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Finding the Third Proportional to 33,496 and 72,216

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Solution

The third proportional to 33,496 and 72,216 is: 155,694.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,496 : 72,216 = 72,216 : x
  2. Step 2: Convert to fraction form
    33,496/72,216 = 72,216/x
  3. Step 3: Cross multiply
    33,496x = 72,216 × 72,216
  4. Step 4: Simplify right side
    33,496x = 5,215,150,656
  5. Step 5: Solve for x
    x = 5,215,150,656/33,496
  6. Step 6: Final answer
    x = 155,694.73

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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.