Finding the Third Proportional to 10,249 and 21,722
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Solution
The third proportional to 10,249 and 21,722 is: 46,038.18
Step by Step Solution
- Step 1: Write the proportion equation
10,249 : 21,722 = 21,722 : x - Step 2: Convert to fraction form
10,249/21,722 = 21,722/x - Step 3: Cross multiply
10,249x = 21,722 × 21,722 - Step 4: Simplify right side
10,249x = 471,845,284 - Step 5: Solve for x
x = 471,845,284/10,249 - Step 6: Final answer
x = 46,038.18
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.