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Finding the Third Proportional to 39,676 and 86,634

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Solution

The third proportional to 39,676 and 86,634 is: 189,168.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,676 : 86,634 = 86,634 : x
  2. Step 2: Convert to fraction form
    39,676/86,634 = 86,634/x
  3. Step 3: Cross multiply
    39,676x = 86,634 × 86,634
  4. Step 4: Simplify right side
    39,676x = 7,505,449,956
  5. Step 5: Solve for x
    x = 7,505,449,956/39,676
  6. Step 6: Final answer
    x = 189,168.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.