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Finding the Third Proportional to 2,883.94 and 3,396.38

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Solution

The third proportional to 2,883.94 and 3,396.38 is: 3,999.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,883.94 : 3,396.38 = 3,396.38 : x
  2. Step 2: Convert to fraction form
    2,883.94/3,396.38 = 3,396.38/x
  3. Step 3: Cross multiply
    2,883.94x = 3,396.38 × 3,396.38
  4. Step 4: Simplify right side
    2,883.94x = 11,535,363.14
  5. Step 5: Solve for x
    x = 11,535,363.14/2,883.94
  6. Step 6: Final answer
    x = 3,999.87

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.