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Finding the Third Proportional to 5,412.06 and 8,096.42

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Solution

The third proportional to 5,412.06 and 8,096.42 is: 12,112.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,412.06 : 8,096.42 = 8,096.42 : x
  2. Step 2: Convert to fraction form
    5,412.06/8,096.42 = 8,096.42/x
  3. Step 3: Cross multiply
    5,412.06x = 8,096.42 × 8,096.42
  4. Step 4: Simplify right side
    5,412.06x = 65,552,027.41
  5. Step 5: Solve for x
    x = 65,552,027.41/5,412.06
  6. Step 6: Final answer
    x = 12,112.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.