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Finding the Third Proportional to 22,668 and 25,962

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Solution

The third proportional to 22,668 and 25,962 is: 29,734.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,668 : 25,962 = 25,962 : x
  2. Step 2: Convert to fraction form
    22,668/25,962 = 25,962/x
  3. Step 3: Cross multiply
    22,668x = 25,962 × 25,962
  4. Step 4: Simplify right side
    22,668x = 674,025,444
  5. Step 5: Solve for x
    x = 674,025,444/22,668
  6. Step 6: Final answer
    x = 29,734.67

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.