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Finding the Third Proportional to 36,222 and 53,249

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Solution

The third proportional to 36,222 and 53,249 is: 78,279.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,222 : 53,249 = 53,249 : x
  2. Step 2: Convert to fraction form
    36,222/53,249 = 53,249/x
  3. Step 3: Cross multiply
    36,222x = 53,249 × 53,249
  4. Step 4: Simplify right side
    36,222x = 2,835,456,001
  5. Step 5: Solve for x
    x = 2,835,456,001/36,222
  6. Step 6: Final answer
    x = 78,279.94

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.