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Finding the Third Proportional to 3,131.16 and 4,404.38

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Solution

The third proportional to 3,131.16 and 4,404.38 is: 6,195.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.16 : 4,404.38 = 4,404.38 : x
  2. Step 2: Convert to fraction form
    3,131.16/4,404.38 = 4,404.38/x
  3. Step 3: Cross multiply
    3,131.16x = 4,404.38 × 4,404.38
  4. Step 4: Simplify right side
    3,131.16x = 19,398,519.14
  5. Step 5: Solve for x
    x = 19,398,519.14/3,131.16
  6. Step 6: Final answer
    x = 6,195.32

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.