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Finding the Third Proportional to 4,192.50 and 8,279.25

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Solution

The third proportional to 4,192.50 and 8,279.25 is: 16,349.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,192.50 : 8,279.25 = 8,279.25 : x
  2. Step 2: Convert to fraction form
    4,192.50/8,279.25 = 8,279.25/x
  3. Step 3: Cross multiply
    4,192.50x = 8,279.25 × 8,279.25
  4. Step 4: Simplify right side
    4,192.50x = 68,545,980.56
  5. Step 5: Solve for x
    x = 68,545,980.56/4,192.50
  6. Step 6: Final answer
    x = 16,349.67

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.