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Finding the Third Proportional to 6,685.03 and 12,982.78

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Solution

The third proportional to 6,685.03 and 12,982.78 is: 25,213.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,685.03 : 12,982.78 = 12,982.78 : x
  2. Step 2: Convert to fraction form
    6,685.03/12,982.78 = 12,982.78/x
  3. Step 3: Cross multiply
    6,685.03x = 12,982.78 × 12,982.78
  4. Step 4: Simplify right side
    6,685.03x = 168,552,608.99
  5. Step 5: Solve for x
    x = 168,552,608.99/6,685.03
  6. Step 6: Final answer
    x = 25,213.44

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These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.