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Finding the Third Proportional to 39,692.25 and 63,183.38

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Solution

The third proportional to 39,692.25 and 63,183.38 is: 100,577.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,692.25 : 63,183.38 = 63,183.38 : x
  2. Step 2: Convert to fraction form
    39,692.25/63,183.38 = 63,183.38/x
  3. Step 3: Cross multiply
    39,692.25x = 63,183.38 × 63,183.38
  4. Step 4: Simplify right side
    39,692.25x = 3,992,138,876.39
  5. Step 5: Solve for x
    x = 3,992,138,876.39/39,692.25
  6. Step 6: Final answer
    x = 100,577.29

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.