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Finding the Third Proportional to 21,844 and 32,947

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Solution

The third proportional to 21,844 and 32,947 is: 49,693.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,844 : 32,947 = 32,947 : x
  2. Step 2: Convert to fraction form
    21,844/32,947 = 32,947/x
  3. Step 3: Cross multiply
    21,844x = 32,947 × 32,947
  4. Step 4: Simplify right side
    21,844x = 1,085,504,809
  5. Step 5: Solve for x
    x = 1,085,504,809/21,844
  6. Step 6: Final answer
    x = 49,693.50

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.