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Finding the Third Proportional to 5,863 and 10,427

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Solution

The third proportional to 5,863 and 10,427 is: 18,543.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,863 : 10,427 = 10,427 : x
  2. Step 2: Convert to fraction form
    5,863/10,427 = 10,427/x
  3. Step 3: Cross multiply
    5,863x = 10,427 × 10,427
  4. Step 4: Simplify right side
    5,863x = 108,722,329
  5. Step 5: Solve for x
    x = 108,722,329/5,863
  6. Step 6: Final answer
    x = 18,543.81

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.