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Finding the Third Proportional to 19,904 and 43,244

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Solution

The third proportional to 19,904 and 43,244 is: 93,953.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,904 : 43,244 = 43,244 : x
  2. Step 2: Convert to fraction form
    19,904/43,244 = 43,244/x
  3. Step 3: Cross multiply
    19,904x = 43,244 × 43,244
  4. Step 4: Simplify right side
    19,904x = 1,870,043,536
  5. Step 5: Solve for x
    x = 1,870,043,536/19,904
  6. Step 6: Final answer
    x = 93,953.15

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.