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Finding the Third Proportional to 933 and 1,819

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Solution

The third proportional to 933 and 1,819 is: 3,546.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    933 : 1,819 = 1,819 : x
  2. Step 2: Convert to fraction form
    933/1,819 = 1,819/x
  3. Step 3: Cross multiply
    933x = 1,819 × 1,819
  4. Step 4: Simplify right side
    933x = 3,308,761
  5. Step 5: Solve for x
    x = 3,308,761/933
  6. Step 6: Final answer
    x = 3,546.37

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.