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Finding the Third Proportional to 3,972.80 and 6,183.21

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Solution

The third proportional to 3,972.80 and 6,183.21 is: 9,623.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,972.80 : 6,183.21 = 6,183.21 : x
  2. Step 2: Convert to fraction form
    3,972.80/6,183.21 = 6,183.21/x
  3. Step 3: Cross multiply
    3,972.80x = 6,183.21 × 6,183.21
  4. Step 4: Simplify right side
    3,972.80x = 38,232,097.50
  5. Step 5: Solve for x
    x = 38,232,097.50/3,972.80
  6. Step 6: Final answer
    x = 9,623.47

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.