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Finding the Third Proportional to 1,448.03 and 2,958.54

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Solution

The third proportional to 1,448.03 and 2,958.54 is: 6,044.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.03 : 2,958.54 = 2,958.54 : x
  2. Step 2: Convert to fraction form
    1,448.03/2,958.54 = 2,958.54/x
  3. Step 3: Cross multiply
    1,448.03x = 2,958.54 × 2,958.54
  4. Step 4: Simplify right side
    1,448.03x = 8,752,940.38
  5. Step 5: Solve for x
    x = 8,752,940.38/1,448.03
  6. Step 6: Final answer
    x = 6,044.71

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.