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Finding the Third Proportional to 36,002 and 75,644

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Solution

The third proportional to 36,002 and 75,644 is: 158,936.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,002 : 75,644 = 75,644 : x
  2. Step 2: Convert to fraction form
    36,002/75,644 = 75,644/x
  3. Step 3: Cross multiply
    36,002x = 75,644 × 75,644
  4. Step 4: Simplify right side
    36,002x = 5,722,014,736
  5. Step 5: Solve for x
    x = 5,722,014,736/36,002
  6. Step 6: Final answer
    x = 158,936.02

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.