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Finding the Third Proportional to 21,895 and 33,869

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Solution

The third proportional to 21,895 and 33,869 is: 52,391.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,895 : 33,869 = 33,869 : x
  2. Step 2: Convert to fraction form
    21,895/33,869 = 33,869/x
  3. Step 3: Cross multiply
    21,895x = 33,869 × 33,869
  4. Step 4: Simplify right side
    21,895x = 1,147,109,161
  5. Step 5: Solve for x
    x = 1,147,109,161/21,895
  6. Step 6: Final answer
    x = 52,391.38

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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.