Finding the Third Proportional to 10,062 and 21,744
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Solution
The third proportional to 10,062 and 21,744 is: 46,988.82
Step by Step Solution
- Step 1: Write the proportion equation
10,062 : 21,744 = 21,744 : x - Step 2: Convert to fraction form
10,062/21,744 = 21,744/x - Step 3: Cross multiply
10,062x = 21,744 × 21,744 - Step 4: Simplify right side
10,062x = 472,801,536 - Step 5: Solve for x
x = 472,801,536/10,062 - Step 6: Final answer
x = 46,988.82
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.