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Finding the Third Proportional to 6,114 and 8,256

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Solution

The third proportional to 6,114 and 8,256 is: 11,148.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114 : 8,256 = 8,256 : x
  2. Step 2: Convert to fraction form
    6,114/8,256 = 8,256/x
  3. Step 3: Cross multiply
    6,114x = 8,256 × 8,256
  4. Step 4: Simplify right side
    6,114x = 68,161,536
  5. Step 5: Solve for x
    x = 68,161,536/6,114
  6. Step 6: Final answer
    x = 11,148.44

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.