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Finding the Third Proportional to 1,697 and 1,945

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Solution

The third proportional to 1,697 and 1,945 is: 2,229.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697 : 1,945 = 1,945 : x
  2. Step 2: Convert to fraction form
    1,697/1,945 = 1,945/x
  3. Step 3: Cross multiply
    1,697x = 1,945 × 1,945
  4. Step 4: Simplify right side
    1,697x = 3,783,025
  5. Step 5: Solve for x
    x = 3,783,025/1,697
  6. Step 6: Final answer
    x = 2,229.24

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.