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Finding the Third Proportional to 6,540.75 and 8,439.19

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Solution

The third proportional to 6,540.75 and 8,439.19 is: 10,888.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,540.75 : 8,439.19 = 8,439.19 : x
  2. Step 2: Convert to fraction form
    6,540.75/8,439.19 = 8,439.19/x
  3. Step 3: Cross multiply
    6,540.75x = 8,439.19 × 8,439.19
  4. Step 4: Simplify right side
    6,540.75x = 71,219,885.66
  5. Step 5: Solve for x
    x = 71,219,885.66/6,540.75
  6. Step 6: Final answer
    x = 10,888.64

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These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.