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Finding the Third Proportional to 33,984 and 52,491

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Solution

The third proportional to 33,984 and 52,491 is: 81,076.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,984 : 52,491 = 52,491 : x
  2. Step 2: Convert to fraction form
    33,984/52,491 = 52,491/x
  3. Step 3: Cross multiply
    33,984x = 52,491 × 52,491
  4. Step 4: Simplify right side
    33,984x = 2,755,305,081
  5. Step 5: Solve for x
    x = 2,755,305,081/33,984
  6. Step 6: Final answer
    x = 81,076.54

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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.