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Finding the Third Proportional to 3,180.09 and 4,843.13

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Solution

The third proportional to 3,180.09 and 4,843.13 is: 7,375.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,180.09 : 4,843.13 = 4,843.13 : x
  2. Step 2: Convert to fraction form
    3,180.09/4,843.13 = 4,843.13/x
  3. Step 3: Cross multiply
    3,180.09x = 4,843.13 × 4,843.13
  4. Step 4: Simplify right side
    3,180.09x = 23,455,859.77
  5. Step 5: Solve for x
    x = 23,455,859.77/3,180.09
  6. Step 6: Final answer
    x = 7,375.84

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.