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Finding the Third Proportional to 13,947 and 21,247

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Solution

The third proportional to 13,947 and 21,247 is: 32,367.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,947 : 21,247 = 21,247 : x
  2. Step 2: Convert to fraction form
    13,947/21,247 = 21,247/x
  3. Step 3: Cross multiply
    13,947x = 21,247 × 21,247
  4. Step 4: Simplify right side
    13,947x = 451,435,009
  5. Step 5: Solve for x
    x = 451,435,009/13,947
  6. Step 6: Final answer
    x = 32,367.89

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.