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Finding the Third Proportional to 33,629 and 52,039

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Solution

The third proportional to 33,629 and 52,039 is: 80,527.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,629 : 52,039 = 52,039 : x
  2. Step 2: Convert to fraction form
    33,629/52,039 = 52,039/x
  3. Step 3: Cross multiply
    33,629x = 52,039 × 52,039
  4. Step 4: Simplify right side
    33,629x = 2,708,057,521
  5. Step 5: Solve for x
    x = 2,708,057,521/33,629
  6. Step 6: Final answer
    x = 80,527.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.