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Finding the Third Proportional to 5,861.75 and 12,724.75

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Solution

The third proportional to 5,861.75 and 12,724.75 is: 27,623.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,861.75 : 12,724.75 = 12,724.75 : x
  2. Step 2: Convert to fraction form
    5,861.75/12,724.75 = 12,724.75/x
  3. Step 3: Cross multiply
    5,861.75x = 12,724.75 × 12,724.75
  4. Step 4: Simplify right side
    5,861.75x = 161,919,262.56
  5. Step 5: Solve for x
    x = 161,919,262.56/5,861.75
  6. Step 6: Final answer
    x = 27,623.02

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.