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Finding the Third Proportional to 18,965 and 41,494

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Solution

The third proportional to 18,965 and 41,494 is: 90,785.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,965 : 41,494 = 41,494 : x
  2. Step 2: Convert to fraction form
    18,965/41,494 = 41,494/x
  3. Step 3: Cross multiply
    18,965x = 41,494 × 41,494
  4. Step 4: Simplify right side
    18,965x = 1,721,752,036
  5. Step 5: Solve for x
    x = 1,721,752,036/18,965
  6. Step 6: Final answer
    x = 90,785.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.