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Finding the Third Proportional to 4,023.33 and 5,890.97

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Solution

The third proportional to 4,023.33 and 5,890.97 is: 8,625.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,023.33 : 5,890.97 = 5,890.97 : x
  2. Step 2: Convert to fraction form
    4,023.33/5,890.97 = 5,890.97/x
  3. Step 3: Cross multiply
    4,023.33x = 5,890.97 × 5,890.97
  4. Step 4: Simplify right side
    4,023.33x = 34,703,512.81
  5. Step 5: Solve for x
    x = 34,703,512.81/4,023.33
  6. Step 6: Final answer
    x = 8,625.57

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.