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Finding the Third Proportional to 3,609.56 and 7,679.81

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Solution

The third proportional to 3,609.56 and 7,679.81 is: 16,339.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,609.56 : 7,679.81 = 7,679.81 : x
  2. Step 2: Convert to fraction form
    3,609.56/7,679.81 = 7,679.81/x
  3. Step 3: Cross multiply
    3,609.56x = 7,679.81 × 7,679.81
  4. Step 4: Simplify right side
    3,609.56x = 58,979,520.04
  5. Step 5: Solve for x
    x = 58,979,520.04/3,609.56
  6. Step 6: Final answer
    x = 16,339.80

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.