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Finding the Third Proportional to 980.06 and 2,102.44

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Solution

The third proportional to 980.06 and 2,102.44 is: 4,510.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.06 : 2,102.44 = 2,102.44 : x
  2. Step 2: Convert to fraction form
    980.06/2,102.44 = 2,102.44/x
  3. Step 3: Cross multiply
    980.06x = 2,102.44 × 2,102.44
  4. Step 4: Simplify right side
    980.06x = 4,420,243.44
  5. Step 5: Solve for x
    x = 4,420,243.44/980.06
  6. Step 6: Final answer
    x = 4,510.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.