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Finding the Third Proportional to 8,311.13 and 12,466.69

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Solution

The third proportional to 8,311.13 and 12,466.69 is: 18,700.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.13 : 12,466.69 = 12,466.69 : x
  2. Step 2: Convert to fraction form
    8,311.13/12,466.69 = 12,466.69/x
  3. Step 3: Cross multiply
    8,311.13x = 12,466.69 × 12,466.69
  4. Step 4: Simplify right side
    8,311.13x = 155,418,297.22
  5. Step 5: Solve for x
    x = 155,418,297.22/8,311.13
  6. Step 6: Final answer
    x = 18,700.03

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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.