Finding the Third Proportional to 7,626 and 11,664
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Solution
The third proportional to 7,626 and 11,664 is: 17,840.14
Step by Step Solution
- Step 1: Write the proportion equation
7,626 : 11,664 = 11,664 : x - Step 2: Convert to fraction form
7,626/11,664 = 11,664/x - Step 3: Cross multiply
7,626x = 11,664 × 11,664 - Step 4: Simplify right side
7,626x = 136,048,896 - Step 5: Solve for x
x = 136,048,896/7,626 - Step 6: Final answer
x = 17,840.14
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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.