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Finding the Third Proportional to 5,911 and 8,867

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Solution

The third proportional to 5,911 and 8,867 is: 13,301.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,911 : 8,867 = 8,867 : x
  2. Step 2: Convert to fraction form
    5,911/8,867 = 8,867/x
  3. Step 3: Cross multiply
    5,911x = 8,867 × 8,867
  4. Step 4: Simplify right side
    5,911x = 78,623,689
  5. Step 5: Solve for x
    x = 78,623,689/5,911
  6. Step 6: Final answer
    x = 13,301.25

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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.