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Finding the Third Proportional to 19,832 and 43,104

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Solution

The third proportional to 19,832 and 43,104 is: 93,684.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,832 : 43,104 = 43,104 : x
  2. Step 2: Convert to fraction form
    19,832/43,104 = 43,104/x
  3. Step 3: Cross multiply
    19,832x = 43,104 × 43,104
  4. Step 4: Simplify right side
    19,832x = 1,857,954,816
  5. Step 5: Solve for x
    x = 1,857,954,816/19,832
  6. Step 6: Final answer
    x = 93,684.69

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Why These Related Problems?

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