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Finding the Third Proportional to 2,520.25 and 3,692.38

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Solution

The third proportional to 2,520.25 and 3,692.38 is: 5,409.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,520.25 : 3,692.38 = 3,692.38 : x
  2. Step 2: Convert to fraction form
    2,520.25/3,692.38 = 3,692.38/x
  3. Step 3: Cross multiply
    2,520.25x = 3,692.38 × 3,692.38
  4. Step 4: Simplify right side
    2,520.25x = 13,633,633.14
  5. Step 5: Solve for x
    x = 13,633,633.14/2,520.25
  6. Step 6: Final answer
    x = 5,409.64

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.