Finding the Third Proportional to 7,578 and 16,252
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Solution
The third proportional to 7,578 and 16,252 is: 34,854.51
Step by Step Solution
- Step 1: Write the proportion equation
7,578 : 16,252 = 16,252 : x - Step 2: Convert to fraction form
7,578/16,252 = 16,252/x - Step 3: Cross multiply
7,578x = 16,252 × 16,252 - Step 4: Simplify right side
7,578x = 264,127,504 - Step 5: Solve for x
x = 264,127,504/7,578 - Step 6: Final answer
x = 34,854.51
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.