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Finding the Third Proportional to 3,979.50 and 8,742

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Solution

The third proportional to 3,979.50 and 8,742 is: 19,204.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,979.50 : 8,742 = 8,742 : x
  2. Step 2: Convert to fraction form
    3,979.50/8,742 = 8,742/x
  3. Step 3: Cross multiply
    3,979.50x = 8,742 × 8,742
  4. Step 4: Simplify right side
    3,979.50x = 76,422,564
  5. Step 5: Solve for x
    x = 76,422,564/3,979.50
  6. Step 6: Final answer
    x = 19,204.06

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.