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Finding the Third Proportional to 43,794 and 67,950

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Solution

The third proportional to 43,794 and 67,950 is: 105,430.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,794 : 67,950 = 67,950 : x
  2. Step 2: Convert to fraction form
    43,794/67,950 = 67,950/x
  3. Step 3: Cross multiply
    43,794x = 67,950 × 67,950
  4. Step 4: Simplify right side
    43,794x = 4,617,202,500
  5. Step 5: Solve for x
    x = 4,617,202,500/43,794
  6. Step 6: Final answer
    x = 105,430.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.