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Finding the Third Proportional to 2,677.43 and 5,757.33

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Solution

The third proportional to 2,677.43 and 5,757.33 is: 12,380.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.43 : 5,757.33 = 5,757.33 : x
  2. Step 2: Convert to fraction form
    2,677.43/5,757.33 = 5,757.33/x
  3. Step 3: Cross multiply
    2,677.43x = 5,757.33 × 5,757.33
  4. Step 4: Simplify right side
    2,677.43x = 33,146,827.14
  5. Step 5: Solve for x
    x = 33,146,827.14/2,677.43
  6. Step 6: Final answer
    x = 12,380.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.