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Finding the Third Proportional to 3,982.45 and 6,145.24

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Solution

The third proportional to 3,982.45 and 6,145.24 is: 9,482.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982.45 : 6,145.24 = 6,145.24 : x
  2. Step 2: Convert to fraction form
    3,982.45/6,145.24 = 6,145.24/x
  3. Step 3: Cross multiply
    3,982.45x = 6,145.24 × 6,145.24
  4. Step 4: Simplify right side
    3,982.45x = 37,764,001.54
  5. Step 5: Solve for x
    x = 37,764,001.54/3,982.45
  6. Step 6: Final answer
    x = 9,482.61

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.