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Finding the Third Proportional to 947.79 and 2,003.80

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Solution

The third proportional to 947.79 and 2,003.80 is: 4,236.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.79 : 2,003.80 = 2,003.80 : x
  2. Step 2: Convert to fraction form
    947.79/2,003.80 = 2,003.80/x
  3. Step 3: Cross multiply
    947.79x = 2,003.80 × 2,003.80
  4. Step 4: Simplify right side
    947.79x = 4,015,217.57
  5. Step 5: Solve for x
    x = 4,015,217.57/947.79
  6. Step 6: Final answer
    x = 4,236.38

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.