Finding the Third Proportional to 21,971 and 34,049
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Solution
The third proportional to 21,971 and 34,049 is: 52,766.57
Step by Step Solution
- Step 1: Write the proportion equation
21,971 : 34,049 = 34,049 : x - Step 2: Convert to fraction form
21,971/34,049 = 34,049/x - Step 3: Cross multiply
21,971x = 34,049 × 34,049 - Step 4: Simplify right side
21,971x = 1,159,334,401 - Step 5: Solve for x
x = 1,159,334,401/21,971 - Step 6: Final answer
x = 52,766.57
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.