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Finding the Third Proportional to 2,141.44 and 4,404.38

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Solution

The third proportional to 2,141.44 and 4,404.38 is: 9,058.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.44 : 4,404.38 = 4,404.38 : x
  2. Step 2: Convert to fraction form
    2,141.44/4,404.38 = 4,404.38/x
  3. Step 3: Cross multiply
    2,141.44x = 4,404.38 × 4,404.38
  4. Step 4: Simplify right side
    2,141.44x = 19,398,519.14
  5. Step 5: Solve for x
    x = 19,398,519.14/2,141.44
  6. Step 6: Final answer
    x = 9,058.64

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.