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Finding the Third Proportional to 481.25 and 1,042.24

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Solution

The third proportional to 481.25 and 1,042.24 is: 2,257.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.25 : 1,042.24 = 1,042.24 : x
  2. Step 2: Convert to fraction form
    481.25/1,042.24 = 1,042.24/x
  3. Step 3: Cross multiply
    481.25x = 1,042.24 × 1,042.24
  4. Step 4: Simplify right side
    481.25x = 1,086,268.78
  5. Step 5: Solve for x
    x = 1,086,268.78/481.25
  6. Step 6: Final answer
    x = 2,257.16

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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.