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Finding the Third Proportional to 2,685.38 and 4,149.56

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Solution

The third proportional to 2,685.38 and 4,149.56 is: 6,412.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685.38 : 4,149.56 = 4,149.56 : x
  2. Step 2: Convert to fraction form
    2,685.38/4,149.56 = 4,149.56/x
  3. Step 3: Cross multiply
    2,685.38x = 4,149.56 × 4,149.56
  4. Step 4: Simplify right side
    2,685.38x = 17,218,868.94
  5. Step 5: Solve for x
    x = 17,218,868.94/2,685.38
  6. Step 6: Final answer
    x = 6,412.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.