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Finding the Third Proportional to 2,079.84 and 3,141.56

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Solution

The third proportional to 2,079.84 and 3,141.56 is: 4,745.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079.84 : 3,141.56 = 3,141.56 : x
  2. Step 2: Convert to fraction form
    2,079.84/3,141.56 = 3,141.56/x
  3. Step 3: Cross multiply
    2,079.84x = 3,141.56 × 3,141.56
  4. Step 4: Simplify right side
    2,079.84x = 9,869,414.94
  5. Step 5: Solve for x
    x = 9,869,414.94/2,079.84
  6. Step 6: Final answer
    x = 4,745.27

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.