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Finding the Third Proportional to 3,728.25 and 7,692.75

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Solution

The third proportional to 3,728.25 and 7,692.75 is: 15,872.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728.25 : 7,692.75 = 7,692.75 : x
  2. Step 2: Convert to fraction form
    3,728.25/7,692.75 = 7,692.75/x
  3. Step 3: Cross multiply
    3,728.25x = 7,692.75 × 7,692.75
  4. Step 4: Simplify right side
    3,728.25x = 59,178,402.56
  5. Step 5: Solve for x
    x = 59,178,402.56/3,728.25
  6. Step 6: Final answer
    x = 15,872.97

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.