Finding the Third Proportional to 12,406 and 27,039
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Solution
The third proportional to 12,406 and 27,039 is: 58,931.77
Step by Step Solution
- Step 1: Write the proportion equation
12,406 : 27,039 = 27,039 : x - Step 2: Convert to fraction form
12,406/27,039 = 27,039/x - Step 3: Cross multiply
12,406x = 27,039 × 27,039 - Step 4: Simplify right side
12,406x = 731,107,521 - Step 5: Solve for x
x = 731,107,521/12,406 - Step 6: Final answer
x = 58,931.77
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.