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Finding the Third Proportional to 18,976 and 41,648

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Solution

The third proportional to 18,976 and 41,648 is: 91,407.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,976 : 41,648 = 41,648 : x
  2. Step 2: Convert to fraction form
    18,976/41,648 = 41,648/x
  3. Step 3: Cross multiply
    18,976x = 41,648 × 41,648
  4. Step 4: Simplify right side
    18,976x = 1,734,555,904
  5. Step 5: Solve for x
    x = 1,734,555,904/18,976
  6. Step 6: Final answer
    x = 91,407.88

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.