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Finding the Third Proportional to 36,464 and 50,241

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Solution

The third proportional to 36,464 and 50,241 is: 69,223.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,464 : 50,241 = 50,241 : x
  2. Step 2: Convert to fraction form
    36,464/50,241 = 50,241/x
  3. Step 3: Cross multiply
    36,464x = 50,241 × 50,241
  4. Step 4: Simplify right side
    36,464x = 2,524,158,081
  5. Step 5: Solve for x
    x = 2,524,158,081/36,464
  6. Step 6: Final answer
    x = 69,223.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.