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Finding the Third Proportional to 796.63 and 1,738.49

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Solution

The third proportional to 796.63 and 1,738.49 is: 3,793.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.63 : 1,738.49 = 1,738.49 : x
  2. Step 2: Convert to fraction form
    796.63/1,738.49 = 1,738.49/x
  3. Step 3: Cross multiply
    796.63x = 1,738.49 × 1,738.49
  4. Step 4: Simplify right side
    796.63x = 3,022,361.88
  5. Step 5: Solve for x
    x = 3,022,361.88/796.63
  6. Step 6: Final answer
    x = 3,793.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.