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Finding the Third Proportional to 21,847 and 32,736

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Solution

The third proportional to 21,847 and 32,736 is: 49,052.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,847 : 32,736 = 32,736 : x
  2. Step 2: Convert to fraction form
    21,847/32,736 = 32,736/x
  3. Step 3: Cross multiply
    21,847x = 32,736 × 32,736
  4. Step 4: Simplify right side
    21,847x = 1,071,645,696
  5. Step 5: Solve for x
    x = 1,071,645,696/21,847
  6. Step 6: Final answer
    x = 49,052.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.