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Finding the Third Proportional to 6,947 and 14,911

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Solution

The third proportional to 6,947 and 14,911 is: 32,004.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,947 : 14,911 = 14,911 : x
  2. Step 2: Convert to fraction form
    6,947/14,911 = 14,911/x
  3. Step 3: Cross multiply
    6,947x = 14,911 × 14,911
  4. Step 4: Simplify right side
    6,947x = 222,337,921
  5. Step 5: Solve for x
    x = 222,337,921/6,947
  6. Step 6: Final answer
    x = 32,004.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.