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Finding the Third Proportional to 2,014.03 and 4,471.03

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Solution

The third proportional to 2,014.03 and 4,471.03 is: 9,925.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.03 : 4,471.03 = 4,471.03 : x
  2. Step 2: Convert to fraction form
    2,014.03/4,471.03 = 4,471.03/x
  3. Step 3: Cross multiply
    2,014.03x = 4,471.03 × 4,471.03
  4. Step 4: Simplify right side
    2,014.03x = 19,990,120.44
  5. Step 5: Solve for x
    x = 19,990,120.44/2,014.03
  6. Step 6: Final answer
    x = 9,925.43

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.