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Finding the Third Proportional to 2,683.41 and 5,911.88

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Solution

The third proportional to 2,683.41 and 5,911.88 is: 13,024.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.41 : 5,911.88 = 5,911.88 : x
  2. Step 2: Convert to fraction form
    2,683.41/5,911.88 = 5,911.88/x
  3. Step 3: Cross multiply
    2,683.41x = 5,911.88 × 5,911.88
  4. Step 4: Simplify right side
    2,683.41x = 34,950,266.02
  5. Step 5: Solve for x
    x = 34,950,266.02/2,683.41
  6. Step 6: Final answer
    x = 13,024.59

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.