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Finding the Third Proportional to 17,745.75 and 36,308.25

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Solution

The third proportional to 17,745.75 and 36,308.25 is: 74,287.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,745.75 : 36,308.25 = 36,308.25 : x
  2. Step 2: Convert to fraction form
    17,745.75/36,308.25 = 36,308.25/x
  3. Step 3: Cross multiply
    17,745.75x = 36,308.25 × 36,308.25
  4. Step 4: Simplify right side
    17,745.75x = 1,318,289,018.06
  5. Step 5: Solve for x
    x = 1,318,289,018.06/17,745.75
  6. Step 6: Final answer
    x = 74,287.59

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.