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Finding the Third Proportional to 23,228 and 33,869

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Solution

The third proportional to 23,228 and 33,869 is: 49,384.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,228 : 33,869 = 33,869 : x
  2. Step 2: Convert to fraction form
    23,228/33,869 = 33,869/x
  3. Step 3: Cross multiply
    23,228x = 33,869 × 33,869
  4. Step 4: Simplify right side
    23,228x = 1,147,109,161
  5. Step 5: Solve for x
    x = 1,147,109,161/23,228
  6. Step 6: Final answer
    x = 49,384.76

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.