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Finding the Third Proportional to 4,620.94 and 10,162.69

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Solution

The third proportional to 4,620.94 and 10,162.69 is: 22,350.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,620.94 : 10,162.69 = 10,162.69 : x
  2. Step 2: Convert to fraction form
    4,620.94/10,162.69 = 10,162.69/x
  3. Step 3: Cross multiply
    4,620.94x = 10,162.69 × 10,162.69
  4. Step 4: Simplify right side
    4,620.94x = 103,280,217.22
  5. Step 5: Solve for x
    x = 103,280,217.22/4,620.94
  6. Step 6: Final answer
    x = 22,350.49

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.