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Finding the Third Proportional to 3,012 and 6,972

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Solution

The third proportional to 3,012 and 6,972 is: 16,138.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,012 : 6,972 = 6,972 : x
  2. Step 2: Convert to fraction form
    3,012/6,972 = 6,972/x
  3. Step 3: Cross multiply
    3,012x = 6,972 × 6,972
  4. Step 4: Simplify right side
    3,012x = 48,608,784
  5. Step 5: Solve for x
    x = 48,608,784/3,012
  6. Step 6: Final answer
    x = 16,138.37

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.