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Finding the Third Proportional to 1,794 and 3,986.25

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Solution

The third proportional to 1,794 and 3,986.25 is: 8,857.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,794 : 3,986.25 = 3,986.25 : x
  2. Step 2: Convert to fraction form
    1,794/3,986.25 = 3,986.25/x
  3. Step 3: Cross multiply
    1,794x = 3,986.25 × 3,986.25
  4. Step 4: Simplify right side
    1,794x = 15,890,189.06
  5. Step 5: Solve for x
    x = 15,890,189.06/1,794
  6. Step 6: Final answer
    x = 8,857.41

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.