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Finding the Third Proportional to 1,704.80 and 3,739.92

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Solution

The third proportional to 1,704.80 and 3,739.92 is: 8,204.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.80 : 3,739.92 = 3,739.92 : x
  2. Step 2: Convert to fraction form
    1,704.80/3,739.92 = 3,739.92/x
  3. Step 3: Cross multiply
    1,704.80x = 3,739.92 × 3,739.92
  4. Step 4: Simplify right side
    1,704.80x = 13,987,015.63
  5. Step 5: Solve for x
    x = 13,987,015.63/1,704.80
  6. Step 6: Final answer
    x = 8,204.51

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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.