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Finding the Third Proportional to 1,912.78 and 4,429.69

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Solution

The third proportional to 1,912.78 and 4,429.69 is: 10,258.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,912.78 : 4,429.69 = 4,429.69 : x
  2. Step 2: Convert to fraction form
    1,912.78/4,429.69 = 4,429.69/x
  3. Step 3: Cross multiply
    1,912.78x = 4,429.69 × 4,429.69
  4. Step 4: Simplify right side
    1,912.78x = 19,622,131.35
  5. Step 5: Solve for x
    x = 19,622,131.35/1,912.78
  6. Step 6: Final answer
    x = 10,258.43

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.