Finding the Third Proportional to 9,097 and 21,269
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Solution
The third proportional to 9,097 and 21,269 is: 49,727.42
Step by Step Solution
- Step 1: Write the proportion equation
9,097 : 21,269 = 21,269 : x - Step 2: Convert to fraction form
9,097/21,269 = 21,269/x - Step 3: Cross multiply
9,097x = 21,269 × 21,269 - Step 4: Simplify right side
9,097x = 452,370,361 - Step 5: Solve for x
x = 452,370,361/9,097 - Step 6: Final answer
x = 49,727.42
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Why These Related Problems?
These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.