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Finding the Third Proportional to 10,469 and 18,647

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Solution

The third proportional to 10,469 and 18,647 is: 33,213.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469 : 18,647 = 18,647 : x
  2. Step 2: Convert to fraction form
    10,469/18,647 = 18,647/x
  3. Step 3: Cross multiply
    10,469x = 18,647 × 18,647
  4. Step 4: Simplify right side
    10,469x = 347,710,609
  5. Step 5: Solve for x
    x = 347,710,609/10,469
  6. Step 6: Final answer
    x = 33,213.35

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.