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Finding the Third Proportional to 36,883 and 57,629

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Solution

The third proportional to 36,883 and 57,629 is: 90,044.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,883 : 57,629 = 57,629 : x
  2. Step 2: Convert to fraction form
    36,883/57,629 = 57,629/x
  3. Step 3: Cross multiply
    36,883x = 57,629 × 57,629
  4. Step 4: Simplify right side
    36,883x = 3,321,101,641
  5. Step 5: Solve for x
    x = 3,321,101,641/36,883
  6. Step 6: Final answer
    x = 90,044.24

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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.