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Finding the Third Proportional to 5,566.50 and 8,439.75

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Solution

The third proportional to 5,566.50 and 8,439.75 is: 12,796.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,566.50 : 8,439.75 = 8,439.75 : x
  2. Step 2: Convert to fraction form
    5,566.50/8,439.75 = 8,439.75/x
  3. Step 3: Cross multiply
    5,566.50x = 8,439.75 × 8,439.75
  4. Step 4: Simplify right side
    5,566.50x = 71,229,380.06
  5. Step 5: Solve for x
    x = 71,229,380.06/5,566.50
  6. Step 6: Final answer
    x = 12,796.08

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.