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Finding the Third Proportional to 793.38 and 1,738.75

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Solution

The third proportional to 793.38 and 1,738.75 is: 3,810.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.38 : 1,738.75 = 1,738.75 : x
  2. Step 2: Convert to fraction form
    793.38/1,738.75 = 1,738.75/x
  3. Step 3: Cross multiply
    793.38x = 1,738.75 × 1,738.75
  4. Step 4: Simplify right side
    793.38x = 3,023,251.56
  5. Step 5: Solve for x
    x = 3,023,251.56/793.38
  6. Step 6: Final answer
    x = 3,810.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.