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Finding the Third Proportional to 36,208 and 54,544

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Solution

The third proportional to 36,208 and 54,544 is: 82,165.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,208 : 54,544 = 54,544 : x
  2. Step 2: Convert to fraction form
    36,208/54,544 = 54,544/x
  3. Step 3: Cross multiply
    36,208x = 54,544 × 54,544
  4. Step 4: Simplify right side
    36,208x = 2,975,047,936
  5. Step 5: Solve for x
    x = 2,975,047,936/36,208
  6. Step 6: Final answer
    x = 82,165.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.