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Finding the Third Proportional to 21,889 and 33,954

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Solution

The third proportional to 21,889 and 33,954 is: 52,669.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,889 : 33,954 = 33,954 : x
  2. Step 2: Convert to fraction form
    21,889/33,954 = 33,954/x
  3. Step 3: Cross multiply
    21,889x = 33,954 × 33,954
  4. Step 4: Simplify right side
    21,889x = 1,152,874,116
  5. Step 5: Solve for x
    x = 1,152,874,116/21,889
  6. Step 6: Final answer
    x = 52,669.11

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Why These Related Problems?

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