Finding the Third Proportional to 9,770 and 23,051
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Solution
The third proportional to 9,770 and 23,051 is: 54,385.73
Step by Step Solution
- Step 1: Write the proportion equation
9,770 : 23,051 = 23,051 : x - Step 2: Convert to fraction form
9,770/23,051 = 23,051/x - Step 3: Cross multiply
9,770x = 23,051 × 23,051 - Step 4: Simplify right side
9,770x = 531,348,601 - Step 5: Solve for x
x = 531,348,601/9,770 - Step 6: Final answer
x = 54,385.73
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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.