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Finding the Third Proportional to 41,965 and 64,981

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Solution

The third proportional to 41,965 and 64,981 is: 100,620.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,965 : 64,981 = 64,981 : x
  2. Step 2: Convert to fraction form
    41,965/64,981 = 64,981/x
  3. Step 3: Cross multiply
    41,965x = 64,981 × 64,981
  4. Step 4: Simplify right side
    41,965x = 4,222,530,361
  5. Step 5: Solve for x
    x = 4,222,530,361/41,965
  6. Step 6: Final answer
    x = 100,620.29

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.