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Finding the Third Proportional to 26,864 and 34,824

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Solution

The third proportional to 26,864 and 34,824 is: 45,142.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,864 : 34,824 = 34,824 : x
  2. Step 2: Convert to fraction form
    26,864/34,824 = 34,824/x
  3. Step 3: Cross multiply
    26,864x = 34,824 × 34,824
  4. Step 4: Simplify right side
    26,864x = 1,212,710,976
  5. Step 5: Solve for x
    x = 1,212,710,976/26,864
  6. Step 6: Final answer
    x = 45,142.61

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.