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Finding the Third Proportional to 2,839.27 and 5,820.21

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Solution

The third proportional to 2,839.27 and 5,820.21 is: 11,930.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,839.27 : 5,820.21 = 5,820.21 : x
  2. Step 2: Convert to fraction form
    2,839.27/5,820.21 = 5,820.21/x
  3. Step 3: Cross multiply
    2,839.27x = 5,820.21 × 5,820.21
  4. Step 4: Simplify right side
    2,839.27x = 33,874,889.46
  5. Step 5: Solve for x
    x = 33,874,889.46/2,839.27
  6. Step 6: Final answer
    x = 11,930.84

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.