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Finding the Third Proportional to 2,005.31 and 3,150.56

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Solution

The third proportional to 2,005.31 and 3,150.56 is: 4,949.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.31 : 3,150.56 = 3,150.56 : x
  2. Step 2: Convert to fraction form
    2,005.31/3,150.56 = 3,150.56/x
  3. Step 3: Cross multiply
    2,005.31x = 3,150.56 × 3,150.56
  4. Step 4: Simplify right side
    2,005.31x = 9,926,044.07
  5. Step 5: Solve for x
    x = 9,926,044.07/2,005.31
  6. Step 6: Final answer
    x = 4,949.87

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.