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Finding the Third Proportional to 33,945 and 74,451

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Solution

The third proportional to 33,945 and 74,451 is: 163,292.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,945 : 74,451 = 74,451 : x
  2. Step 2: Convert to fraction form
    33,945/74,451 = 74,451/x
  3. Step 3: Cross multiply
    33,945x = 74,451 × 74,451
  4. Step 4: Simplify right side
    33,945x = 5,542,951,401
  5. Step 5: Solve for x
    x = 5,542,951,401/33,945
  6. Step 6: Final answer
    x = 163,292.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.