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Finding the Third Proportional to 36,546 and 54,672

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Solution

The third proportional to 36,546 and 54,672 is: 81,788.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,546 : 54,672 = 54,672 : x
  2. Step 2: Convert to fraction form
    36,546/54,672 = 54,672/x
  3. Step 3: Cross multiply
    36,546x = 54,672 × 54,672
  4. Step 4: Simplify right side
    36,546x = 2,989,027,584
  5. Step 5: Solve for x
    x = 2,989,027,584/36,546
  6. Step 6: Final answer
    x = 81,788.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.