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Finding the Third Proportional to 2,708.44 and 7,363.41

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Solution

The third proportional to 2,708.44 and 7,363.41 is: 20,018.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708.44 : 7,363.41 = 7,363.41 : x
  2. Step 2: Convert to fraction form
    2,708.44/7,363.41 = 7,363.41/x
  3. Step 3: Cross multiply
    2,708.44x = 7,363.41 × 7,363.41
  4. Step 4: Simplify right side
    2,708.44x = 54,219,751.60
  5. Step 5: Solve for x
    x = 54,219,751.60/2,708.44
  6. Step 6: Final answer
    x = 20,018.83

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.