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Finding the Third Proportional to 17,734.92 and 37,112.48

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Solution

The third proportional to 17,734.92 and 37,112.48 is: 77,662.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,734.92 : 37,112.48 = 37,112.48 : x
  2. Step 2: Convert to fraction form
    17,734.92/37,112.48 = 37,112.48/x
  3. Step 3: Cross multiply
    17,734.92x = 37,112.48 × 37,112.48
  4. Step 4: Simplify right side
    17,734.92x = 1,377,336,496.48
  5. Step 5: Solve for x
    x = 1,377,336,496.48/17,734.92
  6. Step 6: Final answer
    x = 77,662.39

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