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Finding the Third Proportional to 6,972 and 14,517

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Solution

The third proportional to 6,972 and 14,517 is: 30,227.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,972 : 14,517 = 14,517 : x
  2. Step 2: Convert to fraction form
    6,972/14,517 = 14,517/x
  3. Step 3: Cross multiply
    6,972x = 14,517 × 14,517
  4. Step 4: Simplify right side
    6,972x = 210,743,289
  5. Step 5: Solve for x
    x = 210,743,289/6,972
  6. Step 6: Final answer
    x = 30,227.09

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.