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Finding the Third Proportional to 26,884 and 43,162

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Solution

The third proportional to 26,884 and 43,162 is: 69,296.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,884 : 43,162 = 43,162 : x
  2. Step 2: Convert to fraction form
    26,884/43,162 = 43,162/x
  3. Step 3: Cross multiply
    26,884x = 43,162 × 43,162
  4. Step 4: Simplify right side
    26,884x = 1,862,958,244
  5. Step 5: Solve for x
    x = 1,862,958,244/26,884
  6. Step 6: Final answer
    x = 69,296.17

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.