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Finding the Third Proportional to 2,014.31 and 2,351.81

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Solution

The third proportional to 2,014.31 and 2,351.81 is: 2,745.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.31 : 2,351.81 = 2,351.81 : x
  2. Step 2: Convert to fraction form
    2,014.31/2,351.81 = 2,351.81/x
  3. Step 3: Cross multiply
    2,014.31x = 2,351.81 × 2,351.81
  4. Step 4: Simplify right side
    2,014.31x = 5,531,022.04
  5. Step 5: Solve for x
    x = 5,531,022.04/2,014.31
  6. Step 6: Final answer
    x = 2,745.86

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.