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Finding the Third Proportional to 980 and 1,826

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Solution

The third proportional to 980 and 1,826 is: 3,402.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    980 : 1,826 = 1,826 : x
  2. Step 2: Convert to fraction form
    980/1,826 = 1,826/x
  3. Step 3: Cross multiply
    980x = 1,826 × 1,826
  4. Step 4: Simplify right side
    980x = 3,334,276
  5. Step 5: Solve for x
    x = 3,334,276/980
  6. Step 6: Final answer
    x = 3,402.32

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.