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Finding the Third Proportional to 10,818 and 18,147

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Solution

The third proportional to 10,818 and 18,147 is: 30,441.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,818 : 18,147 = 18,147 : x
  2. Step 2: Convert to fraction form
    10,818/18,147 = 18,147/x
  3. Step 3: Cross multiply
    10,818x = 18,147 × 18,147
  4. Step 4: Simplify right side
    10,818x = 329,313,609
  5. Step 5: Solve for x
    x = 329,313,609/10,818
  6. Step 6: Final answer
    x = 30,441.27

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.