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Finding the Third Proportional to 33,308 and 50,182

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Solution

The third proportional to 33,308 and 50,182 is: 75,604.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,308 : 50,182 = 50,182 : x
  2. Step 2: Convert to fraction form
    33,308/50,182 = 50,182/x
  3. Step 3: Cross multiply
    33,308x = 50,182 × 50,182
  4. Step 4: Simplify right side
    33,308x = 2,518,233,124
  5. Step 5: Solve for x
    x = 2,518,233,124/33,308
  6. Step 6: Final answer
    x = 75,604.45

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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.