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Finding the Third Proportional to 845.44 and 1,825.31

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Solution

The third proportional to 845.44 and 1,825.31 is: 3,940.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.44 : 1,825.31 = 1,825.31 : x
  2. Step 2: Convert to fraction form
    845.44/1,825.31 = 1,825.31/x
  3. Step 3: Cross multiply
    845.44x = 1,825.31 × 1,825.31
  4. Step 4: Simplify right side
    845.44x = 3,331,765.72
  5. Step 5: Solve for x
    x = 3,331,765.72/845.44
  6. Step 6: Final answer
    x = 3,940.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.