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Finding the Third Proportional to 41,496 and 63,204

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Solution

The third proportional to 41,496 and 63,204 is: 96,268.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,496 : 63,204 = 63,204 : x
  2. Step 2: Convert to fraction form
    41,496/63,204 = 63,204/x
  3. Step 3: Cross multiply
    41,496x = 63,204 × 63,204
  4. Step 4: Simplify right side
    41,496x = 3,994,745,616
  5. Step 5: Solve for x
    x = 3,994,745,616/41,496
  6. Step 6: Final answer
    x = 96,268.21

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.