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Finding the Third Proportional to 6,367.50 and 8,599.50

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Solution

The third proportional to 6,367.50 and 8,599.50 is: 11,613.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,367.50 : 8,599.50 = 8,599.50 : x
  2. Step 2: Convert to fraction form
    6,367.50/8,599.50 = 8,599.50/x
  3. Step 3: Cross multiply
    6,367.50x = 8,599.50 × 8,599.50
  4. Step 4: Simplify right side
    6,367.50x = 73,951,400.25
  5. Step 5: Solve for x
    x = 73,951,400.25/6,367.50
  6. Step 6: Final answer
    x = 11,613.88

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.