Finding the Third Proportional to 7,272 and 16,416
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Solution
The third proportional to 7,272 and 16,416 is: 37,057.90
Step by Step Solution
- Step 1: Write the proportion equation
7,272 : 16,416 = 16,416 : x - Step 2: Convert to fraction form
7,272/16,416 = 16,416/x - Step 3: Cross multiply
7,272x = 16,416 × 16,416 - Step 4: Simplify right side
7,272x = 269,485,056 - Step 5: Solve for x
x = 269,485,056/7,272 - Step 6: Final answer
x = 37,057.90
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Why These Related Problems?
These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.