Finding the Third Proportional to 7,404 and 10,284
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Solution
The third proportional to 7,404 and 10,284 is: 14,284.26
Step by Step Solution
- Step 1: Write the proportion equation
7,404 : 10,284 = 10,284 : x - Step 2: Convert to fraction form
7,404/10,284 = 10,284/x - Step 3: Cross multiply
7,404x = 10,284 × 10,284 - Step 4: Simplify right side
7,404x = 105,760,656 - Step 5: Solve for x
x = 105,760,656/7,404 - Step 6: Final answer
x = 14,284.26
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Why These Related Problems?
These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.