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Finding the Third Proportional to 1,739.44 and 2,697.56

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Solution

The third proportional to 1,739.44 and 2,697.56 is: 4,183.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,739.44 : 2,697.56 = 2,697.56 : x
  2. Step 2: Convert to fraction form
    1,739.44/2,697.56 = 2,697.56/x
  3. Step 3: Cross multiply
    1,739.44x = 2,697.56 × 2,697.56
  4. Step 4: Simplify right side
    1,739.44x = 7,276,843.44
  5. Step 5: Solve for x
    x = 7,276,843.44/1,739.44
  6. Step 6: Final answer
    x = 4,183.45

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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.