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Finding the Third Proportional to 2,154.94 and 3,049.73

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Solution

The third proportional to 2,154.94 and 3,049.73 is: 4,316.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.94 : 3,049.73 = 3,049.73 : x
  2. Step 2: Convert to fraction form
    2,154.94/3,049.73 = 3,049.73/x
  3. Step 3: Cross multiply
    2,154.94x = 3,049.73 × 3,049.73
  4. Step 4: Simplify right side
    2,154.94x = 9,300,879.76
  5. Step 5: Solve for x
    x = 9,300,879.76/2,154.94
  6. Step 6: Final answer
    x = 4,316.08

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.