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Finding the Third Proportional to 41,601 and 62,933

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Solution

The third proportional to 41,601 and 62,933 is: 95,203.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,601 : 62,933 = 62,933 : x
  2. Step 2: Convert to fraction form
    41,601/62,933 = 62,933/x
  3. Step 3: Cross multiply
    41,601x = 62,933 × 62,933
  4. Step 4: Simplify right side
    41,601x = 3,960,562,489
  5. Step 5: Solve for x
    x = 3,960,562,489/41,601
  6. Step 6: Final answer
    x = 95,203.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.