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Finding the Third Proportional to 32,002 and 50,087

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Solution

The third proportional to 32,002 and 50,087 is: 78,392.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,002 : 50,087 = 50,087 : x
  2. Step 2: Convert to fraction form
    32,002/50,087 = 50,087/x
  3. Step 3: Cross multiply
    32,002x = 50,087 × 50,087
  4. Step 4: Simplify right side
    32,002x = 2,508,707,569
  5. Step 5: Solve for x
    x = 2,508,707,569/32,002
  6. Step 6: Final answer
    x = 78,392.21

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.