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Finding the Third Proportional to 4,103 and 6,427

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Solution

The third proportional to 4,103 and 6,427 is: 10,067.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,103 : 6,427 = 6,427 : x
  2. Step 2: Convert to fraction form
    4,103/6,427 = 6,427/x
  3. Step 3: Cross multiply
    4,103x = 6,427 × 6,427
  4. Step 4: Simplify right side
    4,103x = 41,306,329
  5. Step 5: Solve for x
    x = 41,306,329/4,103
  6. Step 6: Final answer
    x = 10,067.35

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.