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Finding the Third Proportional to 2,683.44 and 5,883.73

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Solution

The third proportional to 2,683.44 and 5,883.73 is: 12,900.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.44 : 5,883.73 = 5,883.73 : x
  2. Step 2: Convert to fraction form
    2,683.44/5,883.73 = 5,883.73/x
  3. Step 3: Cross multiply
    2,683.44x = 5,883.73 × 5,883.73
  4. Step 4: Simplify right side
    2,683.44x = 34,618,307.21
  5. Step 5: Solve for x
    x = 34,618,307.21/2,683.44
  6. Step 6: Final answer
    x = 12,900.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.