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Finding the Third Proportional to 2,311.31 and 3,405.94

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Solution

The third proportional to 2,311.31 and 3,405.94 is: 5,018.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311.31 : 3,405.94 = 3,405.94 : x
  2. Step 2: Convert to fraction form
    2,311.31/3,405.94 = 3,405.94/x
  3. Step 3: Cross multiply
    2,311.31x = 3,405.94 × 3,405.94
  4. Step 4: Simplify right side
    2,311.31x = 11,600,410.25
  5. Step 5: Solve for x
    x = 11,600,410.25/2,311.31
  6. Step 6: Final answer
    x = 5,018.97

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.