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Finding the Third Proportional to 5,692.22 and 8,479.83

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Solution

The third proportional to 5,692.22 and 8,479.83 is: 12,632.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692.22 : 8,479.83 = 8,479.83 : x
  2. Step 2: Convert to fraction form
    5,692.22/8,479.83 = 8,479.83/x
  3. Step 3: Cross multiply
    5,692.22x = 8,479.83 × 8,479.83
  4. Step 4: Simplify right side
    5,692.22x = 71,907,485.03
  5. Step 5: Solve for x
    x = 71,907,485.03/5,692.22
  6. Step 6: Final answer
    x = 12,632.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.