Finding the Third Proportional to 8,076 and 17,304
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Solution
The third proportional to 8,076 and 17,304 is: 37,076.33
Step by Step Solution
- Step 1: Write the proportion equation
8,076 : 17,304 = 17,304 : x - Step 2: Convert to fraction form
8,076/17,304 = 17,304/x - Step 3: Cross multiply
8,076x = 17,304 × 17,304 - Step 4: Simplify right side
8,076x = 299,428,416 - Step 5: Solve for x
x = 299,428,416/8,076 - Step 6: Final answer
x = 37,076.33
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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.