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Finding the Third Proportional to 5,424 and 8,296

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Solution

The third proportional to 5,424 and 8,296 is: 12,688.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,424 : 8,296 = 8,296 : x
  2. Step 2: Convert to fraction form
    5,424/8,296 = 8,296/x
  3. Step 3: Cross multiply
    5,424x = 8,296 × 8,296
  4. Step 4: Simplify right side
    5,424x = 68,823,616
  5. Step 5: Solve for x
    x = 68,823,616/5,424
  6. Step 6: Final answer
    x = 12,688.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.