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Finding the Third Proportional to 18,944 and 41,156

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Solution

The third proportional to 18,944 and 41,156 is: 89,411.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,944 : 41,156 = 41,156 : x
  2. Step 2: Convert to fraction form
    18,944/41,156 = 41,156/x
  3. Step 3: Cross multiply
    18,944x = 41,156 × 41,156
  4. Step 4: Simplify right side
    18,944x = 1,693,816,336
  5. Step 5: Solve for x
    x = 1,693,816,336/18,944
  6. Step 6: Final answer
    x = 89,411.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.