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Finding the Third Proportional to 5,843.39 and 12,646.44

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Solution

The third proportional to 5,843.39 and 12,646.44 is: 27,369.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,843.39 : 12,646.44 = 12,646.44 : x
  2. Step 2: Convert to fraction form
    5,843.39/12,646.44 = 12,646.44/x
  3. Step 3: Cross multiply
    5,843.39x = 12,646.44 × 12,646.44
  4. Step 4: Simplify right side
    5,843.39x = 159,932,480.24
  5. Step 5: Solve for x
    x = 159,932,480.24/5,843.39
  6. Step 6: Final answer
    x = 27,369.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.