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Finding the Third Proportional to 43,786.50 and 67,731

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Solution

The third proportional to 43,786.50 and 67,731 is: 104,769.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,786.50 : 67,731 = 67,731 : x
  2. Step 2: Convert to fraction form
    43,786.50/67,731 = 67,731/x
  3. Step 3: Cross multiply
    43,786.50x = 67,731 × 67,731
  4. Step 4: Simplify right side
    43,786.50x = 4,587,488,361
  5. Step 5: Solve for x
    x = 4,587,488,361/43,786.50
  6. Step 6: Final answer
    x = 104,769.47

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