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Finding the Third Proportional to 2,097 and 4,122

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Solution

The third proportional to 2,097 and 4,122 is: 8,102.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097 : 4,122 = 4,122 : x
  2. Step 2: Convert to fraction form
    2,097/4,122 = 4,122/x
  3. Step 3: Cross multiply
    2,097x = 4,122 × 4,122
  4. Step 4: Simplify right side
    2,097x = 16,990,884
  5. Step 5: Solve for x
    x = 16,990,884/2,097
  6. Step 6: Final answer
    x = 8,102.47

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.