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Finding the Third Proportional to 4,222.76 and 5,923.76

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Solution

The third proportional to 4,222.76 and 5,923.76 is: 8,309.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,222.76 : 5,923.76 = 5,923.76 : x
  2. Step 2: Convert to fraction form
    4,222.76/5,923.76 = 5,923.76/x
  3. Step 3: Cross multiply
    4,222.76x = 5,923.76 × 5,923.76
  4. Step 4: Simplify right side
    4,222.76x = 35,090,906.62
  5. Step 5: Solve for x
    x = 35,090,906.62/4,222.76
  6. Step 6: Final answer
    x = 8,309.95

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.