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Finding the Third Proportional to 1,414.83 and 3,072.73

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Solution

The third proportional to 1,414.83 and 3,072.73 is: 6,673.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.83 : 3,072.73 = 3,072.73 : x
  2. Step 2: Convert to fraction form
    1,414.83/3,072.73 = 3,072.73/x
  3. Step 3: Cross multiply
    1,414.83x = 3,072.73 × 3,072.73
  4. Step 4: Simplify right side
    1,414.83x = 9,441,683.97
  5. Step 5: Solve for x
    x = 9,441,683.97/1,414.83
  6. Step 6: Final answer
    x = 6,673.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.