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Finding the Third Proportional to 41,126 and 61,993

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Solution

The third proportional to 41,126 and 61,993 is: 93,447.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,126 : 61,993 = 61,993 : x
  2. Step 2: Convert to fraction form
    41,126/61,993 = 61,993/x
  3. Step 3: Cross multiply
    41,126x = 61,993 × 61,993
  4. Step 4: Simplify right side
    41,126x = 3,843,132,049
  5. Step 5: Solve for x
    x = 3,843,132,049/41,126
  6. Step 6: Final answer
    x = 93,447.75

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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.