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Finding the Third Proportional to 33,951 and 44,649

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Solution

The third proportional to 33,951 and 44,649 is: 58,717.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,951 : 44,649 = 44,649 : x
  2. Step 2: Convert to fraction form
    33,951/44,649 = 44,649/x
  3. Step 3: Cross multiply
    33,951x = 44,649 × 44,649
  4. Step 4: Simplify right side
    33,951x = 1,993,533,201
  5. Step 5: Solve for x
    x = 1,993,533,201/33,951
  6. Step 6: Final answer
    x = 58,717.95

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.