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Finding the Third Proportional to 36,912 and 57,672

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Solution

The third proportional to 36,912 and 57,672 is: 90,107.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,912 : 57,672 = 57,672 : x
  2. Step 2: Convert to fraction form
    36,912/57,672 = 57,672/x
  3. Step 3: Cross multiply
    36,912x = 57,672 × 57,672
  4. Step 4: Simplify right side
    36,912x = 3,326,059,584
  5. Step 5: Solve for x
    x = 3,326,059,584/36,912
  6. Step 6: Final answer
    x = 90,107.81

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.