Finding the Third Proportional to 7,693 and 11,764
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Solution
The third proportional to 7,693 and 11,764 is: 17,989.30
Step by Step Solution
- Step 1: Write the proportion equation
7,693 : 11,764 = 11,764 : x - Step 2: Convert to fraction form
7,693/11,764 = 11,764/x - Step 3: Cross multiply
7,693x = 11,764 × 11,764 - Step 4: Simplify right side
7,693x = 138,391,696 - Step 5: Solve for x
x = 138,391,696/7,693 - Step 6: Final answer
x = 17,989.30
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Why These Related Problems?
These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.