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Finding the Third Proportional to 807.94 and 1,745.25

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Solution

The third proportional to 807.94 and 1,745.25 is: 3,769.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.94 : 1,745.25 = 1,745.25 : x
  2. Step 2: Convert to fraction form
    807.94/1,745.25 = 1,745.25/x
  3. Step 3: Cross multiply
    807.94x = 1,745.25 × 1,745.25
  4. Step 4: Simplify right side
    807.94x = 3,045,897.56
  5. Step 5: Solve for x
    x = 3,045,897.56/807.94
  6. Step 6: Final answer
    x = 3,769.97

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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.