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Finding the Third Proportional to 2,022.89 and 4,327.03

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Solution

The third proportional to 2,022.89 and 4,327.03 is: 9,255.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022.89 : 4,327.03 = 4,327.03 : x
  2. Step 2: Convert to fraction form
    2,022.89/4,327.03 = 4,327.03/x
  3. Step 3: Cross multiply
    2,022.89x = 4,327.03 × 4,327.03
  4. Step 4: Simplify right side
    2,022.89x = 18,723,199.44
  5. Step 5: Solve for x
    x = 18,723,199.44/2,022.89
  6. Step 6: Final answer
    x = 9,255.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.