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Finding the Third Proportional to 3,014 and 6,947

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Solution

The third proportional to 3,014 and 6,947 is: 16,012.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,014 : 6,947 = 6,947 : x
  2. Step 2: Convert to fraction form
    3,014/6,947 = 6,947/x
  3. Step 3: Cross multiply
    3,014x = 6,947 × 6,947
  4. Step 4: Simplify right side
    3,014x = 48,260,809
  5. Step 5: Solve for x
    x = 48,260,809/3,014
  6. Step 6: Final answer
    x = 16,012.21

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.