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Finding the Third Proportional to 2,014.03 and 4,473.56

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Solution

The third proportional to 2,014.03 and 4,473.56 is: 9,936.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.03 : 4,473.56 = 4,473.56 : x
  2. Step 2: Convert to fraction form
    2,014.03/4,473.56 = 4,473.56/x
  3. Step 3: Cross multiply
    2,014.03x = 4,473.56 × 4,473.56
  4. Step 4: Simplify right side
    2,014.03x = 20,012,761.44
  5. Step 5: Solve for x
    x = 20,012,761.44/2,014.03
  6. Step 6: Final answer
    x = 9,936.67

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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.