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Finding the Third Proportional to 8,234.00 and 18,310.43

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Solution

The third proportional to 8,234.00 and 18,310.43 is: 40,717.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.00 : 18,310.43 = 18,310.43 : x
  2. Step 2: Convert to fraction form
    8,234.00/18,310.43 = 18,310.43/x
  3. Step 3: Cross multiply
    8,234.00x = 18,310.43 × 18,310.43
  4. Step 4: Simplify right side
    8,234.00x = 335,271,835.34
  5. Step 5: Solve for x
    x = 335,271,835.34/8,234.00
  6. Step 6: Final answer
    x = 40,717.99

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.