Finding the Third Proportional to 11,830 and 27,383
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Solution
The third proportional to 11,830 and 27,383 is: 63,383.66
Step by Step Solution
- Step 1: Write the proportion equation
11,830 : 27,383 = 27,383 : x - Step 2: Convert to fraction form
11,830/27,383 = 27,383/x - Step 3: Cross multiply
11,830x = 27,383 × 27,383 - Step 4: Simplify right side
11,830x = 749,828,689 - Step 5: Solve for x
x = 749,828,689/11,830 - Step 6: Final answer
x = 63,383.66
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Why These Related Problems?
These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.