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Finding the Third Proportional to 2,647.41 and 5,839.03

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Solution

The third proportional to 2,647.41 and 5,839.03 is: 12,878.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.41 : 5,839.03 = 5,839.03 : x
  2. Step 2: Convert to fraction form
    2,647.41/5,839.03 = 5,839.03/x
  3. Step 3: Cross multiply
    2,647.41x = 5,839.03 × 5,839.03
  4. Step 4: Simplify right side
    2,647.41x = 34,094,285.94
  5. Step 5: Solve for x
    x = 34,094,285.94/2,647.41
  6. Step 6: Final answer
    x = 12,878.37

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.