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Finding the Third Proportional to 6,834 and 13,929

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Solution

The third proportional to 6,834 and 13,929 is: 28,389.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,834 : 13,929 = 13,929 : x
  2. Step 2: Convert to fraction form
    6,834/13,929 = 13,929/x
  3. Step 3: Cross multiply
    6,834x = 13,929 × 13,929
  4. Step 4: Simplify right side
    6,834x = 194,017,041
  5. Step 5: Solve for x
    x = 194,017,041/6,834
  6. Step 6: Final answer
    x = 28,389.97

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.