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Finding the Third Proportional to 36,954 and 86,760

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Solution

The third proportional to 36,954 and 86,760 is: 203,693.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,954 : 86,760 = 86,760 : x
  2. Step 2: Convert to fraction form
    36,954/86,760 = 86,760/x
  3. Step 3: Cross multiply
    36,954x = 86,760 × 86,760
  4. Step 4: Simplify right side
    36,954x = 7,527,297,600
  5. Step 5: Solve for x
    x = 7,527,297,600/36,954
  6. Step 6: Final answer
    x = 203,693.72

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.