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Finding the Third Proportional to 41,864 and 62,796

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Solution

The third proportional to 41,864 and 62,796 is: 94,194

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,864 : 62,796 = 62,796 : x
  2. Step 2: Convert to fraction form
    41,864/62,796 = 62,796/x
  3. Step 3: Cross multiply
    41,864x = 62,796 × 62,796
  4. Step 4: Simplify right side
    41,864x = 3,943,337,616
  5. Step 5: Solve for x
    x = 3,943,337,616/41,864
  6. Step 6: Final answer
    x = 94,194

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.