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Finding the Third Proportional to 980 and 2,042

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Solution

The third proportional to 980 and 2,042 is: 4,254.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    980 : 2,042 = 2,042 : x
  2. Step 2: Convert to fraction form
    980/2,042 = 2,042/x
  3. Step 3: Cross multiply
    980x = 2,042 × 2,042
  4. Step 4: Simplify right side
    980x = 4,169,764
  5. Step 5: Solve for x
    x = 4,169,764/980
  6. Step 6: Final answer
    x = 4,254.86

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.