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Finding the Third Proportional to 5,764 and 12,122

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Solution

The third proportional to 5,764 and 12,122 is: 25,493.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764 : 12,122 = 12,122 : x
  2. Step 2: Convert to fraction form
    5,764/12,122 = 12,122/x
  3. Step 3: Cross multiply
    5,764x = 12,122 × 12,122
  4. Step 4: Simplify right side
    5,764x = 146,942,884
  5. Step 5: Solve for x
    x = 146,942,884/5,764
  6. Step 6: Final answer
    x = 25,493.21

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.