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Finding the Third Proportional to 1,674 and 3,393.56

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Solution

The third proportional to 1,674 and 3,393.56 is: 6,879.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674 : 3,393.56 = 3,393.56 : x
  2. Step 2: Convert to fraction form
    1,674/3,393.56 = 3,393.56/x
  3. Step 3: Cross multiply
    1,674x = 3,393.56 × 3,393.56
  4. Step 4: Simplify right side
    1,674x = 11,516,266.44
  5. Step 5: Solve for x
    x = 11,516,266.44/1,674
  6. Step 6: Final answer
    x = 6,879.49

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.