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Finding the Third Proportional to 1,745.09 and 3,797.30

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Solution

The third proportional to 1,745.09 and 3,797.30 is: 8,262.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745.09 : 3,797.30 = 3,797.30 : x
  2. Step 2: Convert to fraction form
    1,745.09/3,797.30 = 3,797.30/x
  3. Step 3: Cross multiply
    1,745.09x = 3,797.30 × 3,797.30
  4. Step 4: Simplify right side
    1,745.09x = 14,419,463.56
  5. Step 5: Solve for x
    x = 14,419,463.56/1,745.09
  6. Step 6: Final answer
    x = 8,262.90

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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.