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Finding the Third Proportional to 11,004 and 17,027

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Solution

The third proportional to 11,004 and 17,027 is: 26,346.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,004 : 17,027 = 17,027 : x
  2. Step 2: Convert to fraction form
    11,004/17,027 = 17,027/x
  3. Step 3: Cross multiply
    11,004x = 17,027 × 17,027
  4. Step 4: Simplify right side
    11,004x = 289,918,729
  5. Step 5: Solve for x
    x = 289,918,729/11,004
  6. Step 6: Final answer
    x = 26,346.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.