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Finding the Third Proportional to 1,939.25 and 2,741.82

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Solution

The third proportional to 1,939.25 and 2,741.82 is: 3,876.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,939.25 : 2,741.82 = 2,741.82 : x
  2. Step 2: Convert to fraction form
    1,939.25/2,741.82 = 2,741.82/x
  3. Step 3: Cross multiply
    1,939.25x = 2,741.82 × 2,741.82
  4. Step 4: Simplify right side
    1,939.25x = 7,517,567.92
  5. Step 5: Solve for x
    x = 7,517,567.92/1,939.25
  6. Step 6: Final answer
    x = 3,876.53

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.