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Finding the Third Proportional to 9,189 and 13,795

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Solution

The third proportional to 9,189 and 13,795 is: 20,709.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,189 : 13,795 = 13,795 : x
  2. Step 2: Convert to fraction form
    9,189/13,795 = 13,795/x
  3. Step 3: Cross multiply
    9,189x = 13,795 × 13,795
  4. Step 4: Simplify right side
    9,189x = 190,302,025
  5. Step 5: Solve for x
    x = 190,302,025/9,189
  6. Step 6: Final answer
    x = 20,709.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.