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Finding the Third Proportional to 6,794 and 13,774

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Solution

The third proportional to 6,794 and 13,774 is: 27,925.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,794 : 13,774 = 13,774 : x
  2. Step 2: Convert to fraction form
    6,794/13,774 = 13,774/x
  3. Step 3: Cross multiply
    6,794x = 13,774 × 13,774
  4. Step 4: Simplify right side
    6,794x = 189,723,076
  5. Step 5: Solve for x
    x = 189,723,076/6,794
  6. Step 6: Final answer
    x = 27,925.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.