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Finding the Third Proportional to 18,736 and 39,203

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Solution

The third proportional to 18,736 and 39,203 is: 82,027.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,736 : 39,203 = 39,203 : x
  2. Step 2: Convert to fraction form
    18,736/39,203 = 39,203/x
  3. Step 3: Cross multiply
    18,736x = 39,203 × 39,203
  4. Step 4: Simplify right side
    18,736x = 1,536,875,209
  5. Step 5: Solve for x
    x = 1,536,875,209/18,736
  6. Step 6: Final answer
    x = 82,027.93

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.