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Finding the Third Proportional to 982.44 and 2,084.48

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Solution

The third proportional to 982.44 and 2,084.48 is: 4,422.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.44 : 2,084.48 = 2,084.48 : x
  2. Step 2: Convert to fraction form
    982.44/2,084.48 = 2,084.48/x
  3. Step 3: Cross multiply
    982.44x = 2,084.48 × 2,084.48
  4. Step 4: Simplify right side
    982.44x = 4,345,075.11
  5. Step 5: Solve for x
    x = 4,345,075.11/982.44
  6. Step 6: Final answer
    x = 4,422.73

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.