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Finding the Third Proportional to 18,708 and 41,736

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Solution

The third proportional to 18,708 and 41,736 is: 93,109.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,708 : 41,736 = 41,736 : x
  2. Step 2: Convert to fraction form
    18,708/41,736 = 41,736/x
  3. Step 3: Cross multiply
    18,708x = 41,736 × 41,736
  4. Step 4: Simplify right side
    18,708x = 1,741,893,696
  5. Step 5: Solve for x
    x = 1,741,893,696/18,708
  6. Step 6: Final answer
    x = 93,109.56

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.