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Finding the Third Proportional to 5,669 and 8,311

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Solution

The third proportional to 5,669 and 8,311 is: 12,184.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,669 : 8,311 = 8,311 : x
  2. Step 2: Convert to fraction form
    5,669/8,311 = 8,311/x
  3. Step 3: Cross multiply
    5,669x = 8,311 × 8,311
  4. Step 4: Simplify right side
    5,669x = 69,072,721
  5. Step 5: Solve for x
    x = 69,072,721/5,669
  6. Step 6: Final answer
    x = 12,184.29

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.