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Finding the Third Proportional to 21,926 and 33,166

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Solution

The third proportional to 21,926 and 33,166 is: 50,168.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,926 : 33,166 = 33,166 : x
  2. Step 2: Convert to fraction form
    21,926/33,166 = 33,166/x
  3. Step 3: Cross multiply
    21,926x = 33,166 × 33,166
  4. Step 4: Simplify right side
    21,926x = 1,099,983,556
  5. Step 5: Solve for x
    x = 1,099,983,556/21,926
  6. Step 6: Final answer
    x = 50,168.00

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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.