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Finding the Third Proportional to 5,884 and 8,069

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Solution

The third proportional to 5,884 and 8,069 is: 11,065.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,884 : 8,069 = 8,069 : x
  2. Step 2: Convert to fraction form
    5,884/8,069 = 8,069/x
  3. Step 3: Cross multiply
    5,884x = 8,069 × 8,069
  4. Step 4: Simplify right side
    5,884x = 65,108,761
  5. Step 5: Solve for x
    x = 65,108,761/5,884
  6. Step 6: Final answer
    x = 11,065.39

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.