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Finding the Third Proportional to 33,325 and 51,215

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Solution

The third proportional to 33,325 and 51,215 is: 78,708.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,325 : 51,215 = 51,215 : x
  2. Step 2: Convert to fraction form
    33,325/51,215 = 51,215/x
  3. Step 3: Cross multiply
    33,325x = 51,215 × 51,215
  4. Step 4: Simplify right side
    33,325x = 2,622,976,225
  5. Step 5: Solve for x
    x = 2,622,976,225/33,325
  6. Step 6: Final answer
    x = 78,708.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.