Finding the Third Proportional to 21,523 and 46,444
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Solution
The third proportional to 21,523 and 46,444 is: 100,220.47
Step by Step Solution
- Step 1: Write the proportion equation
21,523 : 46,444 = 46,444 : x - Step 2: Convert to fraction form
21,523/46,444 = 46,444/x - Step 3: Cross multiply
21,523x = 46,444 × 46,444 - Step 4: Simplify right side
21,523x = 2,157,045,136 - Step 5: Solve for x
x = 2,157,045,136/21,523 - Step 6: Final answer
x = 100,220.47
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.