Finding the Third Proportional to 5,292 and 11,970
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Solution
The third proportional to 5,292 and 11,970 is: 27,075
Step by Step Solution
- Step 1: Write the proportion equation
5,292 : 11,970 = 11,970 : x - Step 2: Convert to fraction form
5,292/11,970 = 11,970/x - Step 3: Cross multiply
5,292x = 11,970 × 11,970 - Step 4: Simplify right side
5,292x = 143,280,900 - Step 5: Solve for x
x = 143,280,900/5,292 - Step 6: Final answer
x = 27,075
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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.