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Finding the Third Proportional to 40,867 and 69,884

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Solution

The third proportional to 40,867 and 69,884 is: 119,504.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,867 : 69,884 = 69,884 : x
  2. Step 2: Convert to fraction form
    40,867/69,884 = 69,884/x
  3. Step 3: Cross multiply
    40,867x = 69,884 × 69,884
  4. Step 4: Simplify right side
    40,867x = 4,883,773,456
  5. Step 5: Solve for x
    x = 4,883,773,456/40,867
  6. Step 6: Final answer
    x = 119,504.09

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.