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Finding the Third Proportional to 33,996 and 52,509

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Solution

The third proportional to 33,996 and 52,509 is: 81,103.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,996 : 52,509 = 52,509 : x
  2. Step 2: Convert to fraction form
    33,996/52,509 = 52,509/x
  3. Step 3: Cross multiply
    33,996x = 52,509 × 52,509
  4. Step 4: Simplify right side
    33,996x = 2,757,195,081
  5. Step 5: Solve for x
    x = 2,757,195,081/33,996
  6. Step 6: Final answer
    x = 81,103.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.