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Finding the Third Proportional to 3,692.25 and 5,709.75

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Solution

The third proportional to 3,692.25 and 5,709.75 is: 8,829.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.25 : 5,709.75 = 5,709.75 : x
  2. Step 2: Convert to fraction form
    3,692.25/5,709.75 = 5,709.75/x
  3. Step 3: Cross multiply
    3,692.25x = 5,709.75 × 5,709.75
  4. Step 4: Simplify right side
    3,692.25x = 32,601,245.06
  5. Step 5: Solve for x
    x = 32,601,245.06/3,692.25
  6. Step 6: Final answer
    x = 8,829.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.