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Finding the Third Proportional to 998 and 2,043

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Solution

The third proportional to 998 and 2,043 is: 4,182.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    998 : 2,043 = 2,043 : x
  2. Step 2: Convert to fraction form
    998/2,043 = 2,043/x
  3. Step 3: Cross multiply
    998x = 2,043 × 2,043
  4. Step 4: Simplify right side
    998x = 4,173,849
  5. Step 5: Solve for x
    x = 4,173,849/998
  6. Step 6: Final answer
    x = 4,182.21

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.