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Finding the Third Proportional to 845.25 and 1,823.25

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Solution

The third proportional to 845.25 and 1,823.25 is: 3,932.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.25 : 1,823.25 = 1,823.25 : x
  2. Step 2: Convert to fraction form
    845.25/1,823.25 = 1,823.25/x
  3. Step 3: Cross multiply
    845.25x = 1,823.25 × 1,823.25
  4. Step 4: Simplify right side
    845.25x = 3,324,240.56
  5. Step 5: Solve for x
    x = 3,324,240.56/845.25
  6. Step 6: Final answer
    x = 3,932.85

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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.