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Finding the Third Proportional to 1,861.50 and 4,062.75

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Solution

The third proportional to 1,861.50 and 4,062.75 is: 8,867.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,861.50 : 4,062.75 = 4,062.75 : x
  2. Step 2: Convert to fraction form
    1,861.50/4,062.75 = 4,062.75/x
  3. Step 3: Cross multiply
    1,861.50x = 4,062.75 × 4,062.75
  4. Step 4: Simplify right side
    1,861.50x = 16,505,937.56
  5. Step 5: Solve for x
    x = 16,505,937.56/1,861.50
  6. Step 6: Final answer
    x = 8,867.01

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.