Finding the Third Proportional to 11,804 and 27,830
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Solution
The third proportional to 11,804 and 27,830 is: 65,614.11
Step by Step Solution
- Step 1: Write the proportion equation
11,804 : 27,830 = 27,830 : x - Step 2: Convert to fraction form
11,804/27,830 = 27,830/x - Step 3: Cross multiply
11,804x = 27,830 × 27,830 - Step 4: Simplify right side
11,804x = 774,508,900 - Step 5: Solve for x
x = 774,508,900/11,804 - Step 6: Final answer
x = 65,614.11
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Why These Related Problems?
These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.