Finding the Third Proportional to 7,700 and 18,032
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Solution
The third proportional to 7,700 and 18,032 is: 42,227.67
Step by Step Solution
- Step 1: Write the proportion equation
7,700 : 18,032 = 18,032 : x - Step 2: Convert to fraction form
7,700/18,032 = 18,032/x - Step 3: Cross multiply
7,700x = 18,032 × 18,032 - Step 4: Simplify right side
7,700x = 325,153,024 - Step 5: Solve for x
x = 325,153,024/7,700 - Step 6: Final answer
x = 42,227.67
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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.