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Finding the Third Proportional to 2,462 and 5,963

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Solution

The third proportional to 2,462 and 5,963 is: 14,442.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462 : 5,963 = 5,963 : x
  2. Step 2: Convert to fraction form
    2,462/5,963 = 5,963/x
  3. Step 3: Cross multiply
    2,462x = 5,963 × 5,963
  4. Step 4: Simplify right side
    2,462x = 35,557,369
  5. Step 5: Solve for x
    x = 35,557,369/2,462
  6. Step 6: Final answer
    x = 14,442.47

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.