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Finding the Third Proportional to 4,903.03 and 11,224.83

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Solution

The third proportional to 4,903.03 and 11,224.83 is: 25,697.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,903.03 : 11,224.83 = 11,224.83 : x
  2. Step 2: Convert to fraction form
    4,903.03/11,224.83 = 11,224.83/x
  3. Step 3: Cross multiply
    4,903.03x = 11,224.83 × 11,224.83
  4. Step 4: Simplify right side
    4,903.03x = 125,996,766.44
  5. Step 5: Solve for x
    x = 125,996,766.44/4,903.03
  6. Step 6: Final answer
    x = 25,697.73

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.