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Finding the Third Proportional to 33,024 and 50,202

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Solution

The third proportional to 33,024 and 50,202 is: 76,315.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,024 : 50,202 = 50,202 : x
  2. Step 2: Convert to fraction form
    33,024/50,202 = 50,202/x
  3. Step 3: Cross multiply
    33,024x = 50,202 × 50,202
  4. Step 4: Simplify right side
    33,024x = 2,520,240,804
  5. Step 5: Solve for x
    x = 2,520,240,804/33,024
  6. Step 6: Final answer
    x = 76,315.43

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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.