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Finding the Third Proportional to 3,749.25 and 5,624.25

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Solution

The third proportional to 3,749.25 and 5,624.25 is: 8,436.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,749.25 : 5,624.25 = 5,624.25 : x
  2. Step 2: Convert to fraction form
    3,749.25/5,624.25 = 5,624.25/x
  3. Step 3: Cross multiply
    3,749.25x = 5,624.25 × 5,624.25
  4. Step 4: Simplify right side
    3,749.25x = 31,632,188.06
  5. Step 5: Solve for x
    x = 31,632,188.06/3,749.25
  6. Step 6: Final answer
    x = 8,436.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.