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Finding the Third Proportional to 998.10 and 2,060.28

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Solution

The third proportional to 998.10 and 2,060.28 is: 4,252.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.10 : 2,060.28 = 2,060.28 : x
  2. Step 2: Convert to fraction form
    998.10/2,060.28 = 2,060.28/x
  3. Step 3: Cross multiply
    998.10x = 2,060.28 × 2,060.28
  4. Step 4: Simplify right side
    998.10x = 4,244,750.78
  5. Step 5: Solve for x
    x = 4,244,750.78/998.10
  6. Step 6: Final answer
    x = 4,252.82

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.