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Finding the Third Proportional to 8,589 and 11,454

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Solution

The third proportional to 8,589 and 11,454 is: 15,274.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,589 : 11,454 = 11,454 : x
  2. Step 2: Convert to fraction form
    8,589/11,454 = 11,454/x
  3. Step 3: Cross multiply
    8,589x = 11,454 × 11,454
  4. Step 4: Simplify right side
    8,589x = 131,194,116
  5. Step 5: Solve for x
    x = 131,194,116/8,589
  6. Step 6: Final answer
    x = 15,274.67

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.