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Finding the Third Proportional to 2,739.38 and 4,236.75

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Solution

The third proportional to 2,739.38 and 4,236.75 is: 6,552.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,739.38 : 4,236.75 = 4,236.75 : x
  2. Step 2: Convert to fraction form
    2,739.38/4,236.75 = 4,236.75/x
  3. Step 3: Cross multiply
    2,739.38x = 4,236.75 × 4,236.75
  4. Step 4: Simplify right side
    2,739.38x = 17,950,050.56
  5. Step 5: Solve for x
    x = 17,950,050.56/2,739.38
  6. Step 6: Final answer
    x = 6,552.61

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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.