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Finding the Third Proportional to 2,573.44 and 3,844.69

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Solution

The third proportional to 2,573.44 and 3,844.69 is: 5,743.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,573.44 : 3,844.69 = 3,844.69 : x
  2. Step 2: Convert to fraction form
    2,573.44/3,844.69 = 3,844.69/x
  3. Step 3: Cross multiply
    2,573.44x = 3,844.69 × 3,844.69
  4. Step 4: Simplify right side
    2,573.44x = 14,781,621.97
  5. Step 5: Solve for x
    x = 14,781,621.97/2,573.44
  6. Step 6: Final answer
    x = 5,743.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.