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Finding the Third Proportional to 21,994 and 33,181

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Solution

The third proportional to 21,994 and 33,181 is: 50,058.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,994 : 33,181 = 33,181 : x
  2. Step 2: Convert to fraction form
    21,994/33,181 = 33,181/x
  3. Step 3: Cross multiply
    21,994x = 33,181 × 33,181
  4. Step 4: Simplify right side
    21,994x = 1,100,978,761
  5. Step 5: Solve for x
    x = 1,100,978,761/21,994
  6. Step 6: Final answer
    x = 50,058.14

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Why These Related Problems?

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