Finding the Third Proportional to 17,424 and 19,800
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Solution
The third proportional to 17,424 and 19,800 is: 22,500
Step by Step Solution
- Step 1: Write the proportion equation
17,424 : 19,800 = 19,800 : x - Step 2: Convert to fraction form
17,424/19,800 = 19,800/x - Step 3: Cross multiply
17,424x = 19,800 × 19,800 - Step 4: Simplify right side
17,424x = 392,040,000 - Step 5: Solve for x
x = 392,040,000/17,424 - Step 6: Final answer
x = 22,500
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Why These Related Problems?
These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.