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Finding the Third Proportional to 33,744 and 50,457

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Solution

The third proportional to 33,744 and 50,457 is: 75,447.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,744 : 50,457 = 50,457 : x
  2. Step 2: Convert to fraction form
    33,744/50,457 = 50,457/x
  3. Step 3: Cross multiply
    33,744x = 50,457 × 50,457
  4. Step 4: Simplify right side
    33,744x = 2,545,908,849
  5. Step 5: Solve for x
    x = 2,545,908,849/33,744
  6. Step 6: Final answer
    x = 75,447.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.