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Finding the Third Proportional to 18,226 and 37,906.19

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Solution

The third proportional to 18,226 and 37,906.19 is: 78,836.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,226 : 37,906.19 = 37,906.19 : x
  2. Step 2: Convert to fraction form
    18,226/37,906.19 = 37,906.19/x
  3. Step 3: Cross multiply
    18,226x = 37,906.19 × 37,906.19
  4. Step 4: Simplify right side
    18,226x = 1,436,879,050.79
  5. Step 5: Solve for x
    x = 1,436,879,050.79/18,226
  6. Step 6: Final answer
    x = 78,836.77

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.