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Finding the Third Proportional to 2,892 and 6,147.38

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Solution

The third proportional to 2,892 and 6,147.38 is: 13,067.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892 : 6,147.38 = 6,147.38 : x
  2. Step 2: Convert to fraction form
    2,892/6,147.38 = 6,147.38/x
  3. Step 3: Cross multiply
    2,892x = 6,147.38 × 6,147.38
  4. Step 4: Simplify right side
    2,892x = 37,790,219.39
  5. Step 5: Solve for x
    x = 37,790,219.39/2,892
  6. Step 6: Final answer
    x = 13,067.16

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.