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Finding the Third Proportional to 6,867 and 14,030

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Solution

The third proportional to 6,867 and 14,030 is: 28,664.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,867 : 14,030 = 14,030 : x
  2. Step 2: Convert to fraction form
    6,867/14,030 = 14,030/x
  3. Step 3: Cross multiply
    6,867x = 14,030 × 14,030
  4. Step 4: Simplify right side
    6,867x = 196,840,900
  5. Step 5: Solve for x
    x = 196,840,900/6,867
  6. Step 6: Final answer
    x = 28,664.76

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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.