Finding the Third Proportional to 9,832 and 23,032
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Solution
The third proportional to 9,832 and 23,032 is: 53,953.72
Step by Step Solution
- Step 1: Write the proportion equation
9,832 : 23,032 = 23,032 : x - Step 2: Convert to fraction form
9,832/23,032 = 23,032/x - Step 3: Cross multiply
9,832x = 23,032 × 23,032 - Step 4: Simplify right side
9,832x = 530,473,024 - Step 5: Solve for x
x = 530,473,024/9,832 - Step 6: Final answer
x = 53,953.72
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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.