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Finding the Third Proportional to 4,514 and 6,891

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Solution

The third proportional to 4,514 and 6,891 is: 10,519.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,514 : 6,891 = 6,891 : x
  2. Step 2: Convert to fraction form
    4,514/6,891 = 6,891/x
  3. Step 3: Cross multiply
    4,514x = 6,891 × 6,891
  4. Step 4: Simplify right side
    4,514x = 47,485,881
  5. Step 5: Solve for x
    x = 47,485,881/4,514
  6. Step 6: Final answer
    x = 10,519.69

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.