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Finding the Third Proportional to 8,431.03 and 13,099.22

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Solution

The third proportional to 8,431.03 and 13,099.22 is: 20,352.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431.03 : 13,099.22 = 13,099.22 : x
  2. Step 2: Convert to fraction form
    8,431.03/13,099.22 = 13,099.22/x
  3. Step 3: Cross multiply
    8,431.03x = 13,099.22 × 13,099.22
  4. Step 4: Simplify right side
    8,431.03x = 171,589,531.86
  5. Step 5: Solve for x
    x = 171,589,531.86/8,431.03
  6. Step 6: Final answer
    x = 20,352.14

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.