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Finding the Third Proportional to 5,772 and 8,622

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Solution

The third proportional to 5,772 and 8,622 is: 12,879.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,772 : 8,622 = 8,622 : x
  2. Step 2: Convert to fraction form
    5,772/8,622 = 8,622/x
  3. Step 3: Cross multiply
    5,772x = 8,622 × 8,622
  4. Step 4: Simplify right side
    5,772x = 74,338,884
  5. Step 5: Solve for x
    x = 74,338,884/5,772
  6. Step 6: Final answer
    x = 12,879.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.