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Finding the Third Proportional to 3,842.44 and 8,145.56

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Solution

The third proportional to 3,842.44 and 8,145.56 is: 17,267.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.44 : 8,145.56 = 8,145.56 : x
  2. Step 2: Convert to fraction form
    3,842.44/8,145.56 = 8,145.56/x
  3. Step 3: Cross multiply
    3,842.44x = 8,145.56 × 8,145.56
  4. Step 4: Simplify right side
    3,842.44x = 66,350,188.44
  5. Step 5: Solve for x
    x = 66,350,188.44/3,842.44
  6. Step 6: Final answer
    x = 17,267.73

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.