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Finding the Third Proportional to 33,537 and 44,493

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Solution

The third proportional to 33,537 and 44,493 is: 59,028.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,537 : 44,493 = 44,493 : x
  2. Step 2: Convert to fraction form
    33,537/44,493 = 44,493/x
  3. Step 3: Cross multiply
    33,537x = 44,493 × 44,493
  4. Step 4: Simplify right side
    33,537x = 1,979,627,049
  5. Step 5: Solve for x
    x = 1,979,627,049/33,537
  6. Step 6: Final answer
    x = 59,028.15

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.