Finding the Third Proportional to 17,424 and 23,184
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Solution
The third proportional to 17,424 and 23,184 is: 30,848.13
Step by Step Solution
- Step 1: Write the proportion equation
17,424 : 23,184 = 23,184 : x - Step 2: Convert to fraction form
17,424/23,184 = 23,184/x - Step 3: Cross multiply
17,424x = 23,184 × 23,184 - Step 4: Simplify right side
17,424x = 537,497,856 - Step 5: Solve for x
x = 537,497,856/17,424 - Step 6: Final answer
x = 30,848.13
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Why These Related Problems?
These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.