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Finding the Third Proportional to 2,072.44 and 3,281.63

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Solution

The third proportional to 2,072.44 and 3,281.63 is: 5,196.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.44 : 3,281.63 = 3,281.63 : x
  2. Step 2: Convert to fraction form
    2,072.44/3,281.63 = 3,281.63/x
  3. Step 3: Cross multiply
    2,072.44x = 3,281.63 × 3,281.63
  4. Step 4: Simplify right side
    2,072.44x = 10,769,062.64
  5. Step 5: Solve for x
    x = 10,769,062.64/2,072.44
  6. Step 6: Final answer
    x = 5,196.33

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.