Finding the Third Proportional to 7,640 and 11,460
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Solution
The third proportional to 7,640 and 11,460 is: 17,190
Step by Step Solution
- Step 1: Write the proportion equation
7,640 : 11,460 = 11,460 : x - Step 2: Convert to fraction form
7,640/11,460 = 11,460/x - Step 3: Cross multiply
7,640x = 11,460 × 11,460 - Step 4: Simplify right side
7,640x = 131,331,600 - Step 5: Solve for x
x = 131,331,600/7,640 - Step 6: Final answer
x = 17,190
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.