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Finding the Third Proportional to 4,678 and 8,324

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Solution

The third proportional to 4,678 and 8,324 is: 14,811.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,678 : 8,324 = 8,324 : x
  2. Step 2: Convert to fraction form
    4,678/8,324 = 8,324/x
  3. Step 3: Cross multiply
    4,678x = 8,324 × 8,324
  4. Step 4: Simplify right side
    4,678x = 69,288,976
  5. Step 5: Solve for x
    x = 69,288,976/4,678
  6. Step 6: Final answer
    x = 14,811.67

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.