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Finding the Third Proportional to 21,882 and 33,947

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Solution

The third proportional to 21,882 and 33,947 is: 52,664.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,882 : 33,947 = 33,947 : x
  2. Step 2: Convert to fraction form
    21,882/33,947 = 33,947/x
  3. Step 3: Cross multiply
    21,882x = 33,947 × 33,947
  4. Step 4: Simplify right side
    21,882x = 1,152,398,809
  5. Step 5: Solve for x
    x = 1,152,398,809/21,882
  6. Step 6: Final answer
    x = 52,664.24

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.