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Finding the Third Proportional to 18,979 and 41,654

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Solution

The third proportional to 18,979 and 41,654 is: 91,419.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,979 : 41,654 = 41,654 : x
  2. Step 2: Convert to fraction form
    18,979/41,654 = 41,654/x
  3. Step 3: Cross multiply
    18,979x = 41,654 × 41,654
  4. Step 4: Simplify right side
    18,979x = 1,735,055,716
  5. Step 5: Solve for x
    x = 1,735,055,716/18,979
  6. Step 6: Final answer
    x = 91,419.76

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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.