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Finding the Third Proportional to 21,840 and 33,165

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Solution

The third proportional to 21,840 and 33,165 is: 50,362.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,840 : 33,165 = 33,165 : x
  2. Step 2: Convert to fraction form
    21,840/33,165 = 33,165/x
  3. Step 3: Cross multiply
    21,840x = 33,165 × 33,165
  4. Step 4: Simplify right side
    21,840x = 1,099,917,225
  5. Step 5: Solve for x
    x = 1,099,917,225/21,840
  6. Step 6: Final answer
    x = 50,362.51

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.