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Finding the Third Proportional to 3,086.44 and 3,930.19

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Solution

The third proportional to 3,086.44 and 3,930.19 is: 5,004.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086.44 : 3,930.19 = 3,930.19 : x
  2. Step 2: Convert to fraction form
    3,086.44/3,930.19 = 3,930.19/x
  3. Step 3: Cross multiply
    3,086.44x = 3,930.19 × 3,930.19
  4. Step 4: Simplify right side
    3,086.44x = 15,446,373.79
  5. Step 5: Solve for x
    x = 15,446,373.79/3,086.44
  6. Step 6: Final answer
    x = 5,004.60

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.