Finding the Third Proportional to 9,761 and 23,032
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Solution
The third proportional to 9,761 and 23,032 is: 54,346.18
Step by Step Solution
- Step 1: Write the proportion equation
9,761 : 23,032 = 23,032 : x - Step 2: Convert to fraction form
9,761/23,032 = 23,032/x - Step 3: Cross multiply
9,761x = 23,032 × 23,032 - Step 4: Simplify right side
9,761x = 530,473,024 - Step 5: Solve for x
x = 530,473,024/9,761 - Step 6: Final answer
x = 54,346.18
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Why These Related Problems?
These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.