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Finding the Third Proportional to 33,675 and 49,861

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Solution

The third proportional to 33,675 and 49,861 is: 73,826.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,675 : 49,861 = 49,861 : x
  2. Step 2: Convert to fraction form
    33,675/49,861 = 49,861/x
  3. Step 3: Cross multiply
    33,675x = 49,861 × 49,861
  4. Step 4: Simplify right side
    33,675x = 2,486,119,321
  5. Step 5: Solve for x
    x = 2,486,119,321/33,675
  6. Step 6: Final answer
    x = 73,826.85

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.