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Finding the Third Proportional to 8,216.81 and 12,311.06

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Solution

The third proportional to 8,216.81 and 12,311.06 is: 18,445.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216.81 : 12,311.06 = 12,311.06 : x
  2. Step 2: Convert to fraction form
    8,216.81/12,311.06 = 12,311.06/x
  3. Step 3: Cross multiply
    8,216.81x = 12,311.06 × 12,311.06
  4. Step 4: Simplify right side
    8,216.81x = 151,562,259.88
  5. Step 5: Solve for x
    x = 151,562,259.88/8,216.81
  6. Step 6: Final answer
    x = 18,445.38

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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.