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Finding the Third Proportional to 6,867 and 13,627

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Solution

The third proportional to 6,867 and 13,627 is: 27,041.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,867 : 13,627 = 13,627 : x
  2. Step 2: Convert to fraction form
    6,867/13,627 = 13,627/x
  3. Step 3: Cross multiply
    6,867x = 13,627 × 13,627
  4. Step 4: Simplify right side
    6,867x = 185,695,129
  5. Step 5: Solve for x
    x = 185,695,129/6,867
  6. Step 6: Final answer
    x = 27,041.67

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.