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Finding the Third Proportional to 998 and 2,693

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Solution

The third proportional to 998 and 2,693 is: 7,266.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    998 : 2,693 = 2,693 : x
  2. Step 2: Convert to fraction form
    998/2,693 = 2,693/x
  3. Step 3: Cross multiply
    998x = 2,693 × 2,693
  4. Step 4: Simplify right side
    998x = 7,252,249
  5. Step 5: Solve for x
    x = 7,252,249/998
  6. Step 6: Final answer
    x = 7,266.78

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.