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Finding the Third Proportional to 33,617 and 81,491

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Solution

The third proportional to 33,617 and 81,491 is: 197,542.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,617 : 81,491 = 81,491 : x
  2. Step 2: Convert to fraction form
    33,617/81,491 = 81,491/x
  3. Step 3: Cross multiply
    33,617x = 81,491 × 81,491
  4. Step 4: Simplify right side
    33,617x = 6,640,783,081
  5. Step 5: Solve for x
    x = 6,640,783,081/33,617
  6. Step 6: Final answer
    x = 197,542.41

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.