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Finding the Third Proportional to 4,138.50 and 8,496.75

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Solution

The third proportional to 4,138.50 and 8,496.75 is: 17,444.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.50 : 8,496.75 = 8,496.75 : x
  2. Step 2: Convert to fraction form
    4,138.50/8,496.75 = 8,496.75/x
  3. Step 3: Cross multiply
    4,138.50x = 8,496.75 × 8,496.75
  4. Step 4: Simplify right side
    4,138.50x = 72,194,760.56
  5. Step 5: Solve for x
    x = 72,194,760.56/4,138.50
  6. Step 6: Final answer
    x = 17,444.67

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.