Finding the Third Proportional to 7,744 and 11,652
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Solution
The third proportional to 7,744 and 11,652 is: 17,532.17
Step by Step Solution
- Step 1: Write the proportion equation
7,744 : 11,652 = 11,652 : x - Step 2: Convert to fraction form
7,744/11,652 = 11,652/x - Step 3: Cross multiply
7,744x = 11,652 × 11,652 - Step 4: Simplify right side
7,744x = 135,769,104 - Step 5: Solve for x
x = 135,769,104/7,744 - Step 6: Final answer
x = 17,532.17
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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.