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Finding the Third Proportional to 21,880 and 33,945

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Solution

The third proportional to 21,880 and 33,945 is: 52,662.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,880 : 33,945 = 33,945 : x
  2. Step 2: Convert to fraction form
    21,880/33,945 = 33,945/x
  3. Step 3: Cross multiply
    21,880x = 33,945 × 33,945
  4. Step 4: Simplify right side
    21,880x = 1,152,263,025
  5. Step 5: Solve for x
    x = 1,152,263,025/21,880
  6. Step 6: Final answer
    x = 52,662.84

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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.