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Finding the Third Proportional to 10,774 and 16,122

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Solution

The third proportional to 10,774 and 16,122 is: 24,124.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,774 : 16,122 = 16,122 : x
  2. Step 2: Convert to fraction form
    10,774/16,122 = 16,122/x
  3. Step 3: Cross multiply
    10,774x = 16,122 × 16,122
  4. Step 4: Simplify right side
    10,774x = 259,918,884
  5. Step 5: Solve for x
    x = 259,918,884/10,774
  6. Step 6: Final answer
    x = 24,124.64

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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.