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Finding the Third Proportional to 8,234.50 and 16,055

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Solution

The third proportional to 8,234.50 and 16,055 is: 31,302.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.50 : 16,055 = 16,055 : x
  2. Step 2: Convert to fraction form
    8,234.50/16,055 = 16,055/x
  3. Step 3: Cross multiply
    8,234.50x = 16,055 × 16,055
  4. Step 4: Simplify right side
    8,234.50x = 257,763,025
  5. Step 5: Solve for x
    x = 257,763,025/8,234.50
  6. Step 6: Final answer
    x = 31,302.81

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.