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Finding the Third Proportional to 3,779 and 5,683

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Solution

The third proportional to 3,779 and 5,683 is: 8,546.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,779 : 5,683 = 5,683 : x
  2. Step 2: Convert to fraction form
    3,779/5,683 = 5,683/x
  3. Step 3: Cross multiply
    3,779x = 5,683 × 5,683
  4. Step 4: Simplify right side
    3,779x = 32,296,489
  5. Step 5: Solve for x
    x = 32,296,489/3,779
  6. Step 6: Final answer
    x = 8,546.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.