Finding the Third Proportional to 12,184 and 17,844
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Solution
The third proportional to 12,184 and 17,844 is: 26,133.32
Step by Step Solution
- Step 1: Write the proportion equation
12,184 : 17,844 = 17,844 : x - Step 2: Convert to fraction form
12,184/17,844 = 17,844/x - Step 3: Cross multiply
12,184x = 17,844 × 17,844 - Step 4: Simplify right side
12,184x = 318,408,336 - Step 5: Solve for x
x = 318,408,336/12,184 - Step 6: Final answer
x = 26,133.32
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Why These Related Problems?
These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.