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Finding the Third Proportional to 39,104 and 62,963

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Solution

The third proportional to 39,104 and 62,963 is: 101,379.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,104 : 62,963 = 62,963 : x
  2. Step 2: Convert to fraction form
    39,104/62,963 = 62,963/x
  3. Step 3: Cross multiply
    39,104x = 62,963 × 62,963
  4. Step 4: Simplify right side
    39,104x = 3,964,339,369
  5. Step 5: Solve for x
    x = 3,964,339,369/39,104
  6. Step 6: Final answer
    x = 101,379.38

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.