Finding the Third Proportional to 8,404 and 17,870
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Solution
The third proportional to 8,404 and 17,870 is: 37,998.20
Step by Step Solution
- Step 1: Write the proportion equation
8,404 : 17,870 = 17,870 : x - Step 2: Convert to fraction form
8,404/17,870 = 17,870/x - Step 3: Cross multiply
8,404x = 17,870 × 17,870 - Step 4: Simplify right side
8,404x = 319,336,900 - Step 5: Solve for x
x = 319,336,900/8,404 - Step 6: Final answer
x = 37,998.20
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Why These Related Problems?
These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.