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Finding the Third Proportional to 943.03 and 2,023.03

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Solution

The third proportional to 943.03 and 2,023.03 is: 4,339.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.03 : 2,023.03 = 2,023.03 : x
  2. Step 2: Convert to fraction form
    943.03/2,023.03 = 2,023.03/x
  3. Step 3: Cross multiply
    943.03x = 2,023.03 × 2,023.03
  4. Step 4: Simplify right side
    943.03x = 4,092,655.44
  5. Step 5: Solve for x
    x = 4,092,655.44/943.03
  6. Step 6: Final answer
    x = 4,339.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.