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Finding the Third Proportional to 6,774 and 9,223

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Solution

The third proportional to 6,774 and 9,223 is: 12,557.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,774 : 9,223 = 9,223 : x
  2. Step 2: Convert to fraction form
    6,774/9,223 = 9,223/x
  3. Step 3: Cross multiply
    6,774x = 9,223 × 9,223
  4. Step 4: Simplify right side
    6,774x = 85,063,729
  5. Step 5: Solve for x
    x = 85,063,729/6,774
  6. Step 6: Final answer
    x = 12,557.39

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.