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Finding the Third Proportional to 36,854 and 50,043

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Solution

The third proportional to 36,854 and 50,043 is: 67,951.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,854 : 50,043 = 50,043 : x
  2. Step 2: Convert to fraction form
    36,854/50,043 = 50,043/x
  3. Step 3: Cross multiply
    36,854x = 50,043 × 50,043
  4. Step 4: Simplify right side
    36,854x = 2,504,301,849
  5. Step 5: Solve for x
    x = 2,504,301,849/36,854
  6. Step 6: Final answer
    x = 67,951.97

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.