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Finding the Third Proportional to 40,769.68 and 82,634.77

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Solution

The third proportional to 40,769.68 and 82,634.77 is: 167,489.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,769.68 : 82,634.77 = 82,634.77 : x
  2. Step 2: Convert to fraction form
    40,769.68/82,634.77 = 82,634.77/x
  3. Step 3: Cross multiply
    40,769.68x = 82,634.77 × 82,634.77
  4. Step 4: Simplify right side
    40,769.68x = 6,828,504,489.90
  5. Step 5: Solve for x
    x = 6,828,504,489.90/40,769.68
  6. Step 6: Final answer
    x = 167,489.76

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.