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Finding the Third Proportional to 4,234.50 and 8,256.38

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Solution

The third proportional to 4,234.50 and 8,256.38 is: 16,098.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,234.50 : 8,256.38 = 8,256.38 : x
  2. Step 2: Convert to fraction form
    4,234.50/8,256.38 = 8,256.38/x
  3. Step 3: Cross multiply
    4,234.50x = 8,256.38 × 8,256.38
  4. Step 4: Simplify right side
    4,234.50x = 68,167,728.14
  5. Step 5: Solve for x
    x = 68,167,728.14/4,234.50
  6. Step 6: Final answer
    x = 16,098.18

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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.