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Finding the Third Proportional to 1,773.75 and 3,861.38

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Solution

The third proportional to 1,773.75 and 3,861.38 is: 8,406.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,773.75 : 3,861.38 = 3,861.38 : x
  2. Step 2: Convert to fraction form
    1,773.75/3,861.38 = 3,861.38/x
  3. Step 3: Cross multiply
    1,773.75x = 3,861.38 × 3,861.38
  4. Step 4: Simplify right side
    1,773.75x = 14,910,216.89
  5. Step 5: Solve for x
    x = 14,910,216.89/1,773.75
  6. Step 6: Final answer
    x = 8,406.04

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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.