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Finding the Third Proportional to 2,028.94 and 4,371.75

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Solution

The third proportional to 2,028.94 and 4,371.75 is: 9,419.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.94 : 4,371.75 = 4,371.75 : x
  2. Step 2: Convert to fraction form
    2,028.94/4,371.75 = 4,371.75/x
  3. Step 3: Cross multiply
    2,028.94x = 4,371.75 × 4,371.75
  4. Step 4: Simplify right side
    2,028.94x = 19,112,198.06
  5. Step 5: Solve for x
    x = 19,112,198.06/2,028.94
  6. Step 6: Final answer
    x = 9,419.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.