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Finding the Third Proportional to 1,537.73 and 3,383.02

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Solution

The third proportional to 1,537.73 and 3,383.02 is: 7,442.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.73 : 3,383.02 = 3,383.02 : x
  2. Step 2: Convert to fraction form
    1,537.73/3,383.02 = 3,383.02/x
  3. Step 3: Cross multiply
    1,537.73x = 3,383.02 × 3,383.02
  4. Step 4: Simplify right side
    1,537.73x = 11,444,794.72
  5. Step 5: Solve for x
    x = 11,444,794.72/1,537.73
  6. Step 6: Final answer
    x = 7,442.63

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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.