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Finding the Third Proportional to 2,843.38 and 6,114.44

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Solution

The third proportional to 2,843.38 and 6,114.44 is: 13,148.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.38 : 6,114.44 = 6,114.44 : x
  2. Step 2: Convert to fraction form
    2,843.38/6,114.44 = 6,114.44/x
  3. Step 3: Cross multiply
    2,843.38x = 6,114.44 × 6,114.44
  4. Step 4: Simplify right side
    2,843.38x = 37,386,345.94
  5. Step 5: Solve for x
    x = 37,386,345.94/2,843.38
  6. Step 6: Final answer
    x = 13,148.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.