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Finding the Third Proportional to 2,884.68 and 4,086.39

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Solution

The third proportional to 2,884.68 and 4,086.39 is: 5,788.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884.68 : 4,086.39 = 4,086.39 : x
  2. Step 2: Convert to fraction form
    2,884.68/4,086.39 = 4,086.39/x
  3. Step 3: Cross multiply
    2,884.68x = 4,086.39 × 4,086.39
  4. Step 4: Simplify right side
    2,884.68x = 16,698,556.42
  5. Step 5: Solve for x
    x = 16,698,556.42/2,884.68
  6. Step 6: Final answer
    x = 5,788.71

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.