Finding the Third Proportional to 21,982 and 32,490
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Solution
The third proportional to 21,982 and 32,490 is: 48,021.11
Step by Step Solution
- Step 1: Write the proportion equation
21,982 : 32,490 = 32,490 : x - Step 2: Convert to fraction form
21,982/32,490 = 32,490/x - Step 3: Cross multiply
21,982x = 32,490 × 32,490 - Step 4: Simplify right side
21,982x = 1,055,600,100 - Step 5: Solve for x
x = 1,055,600,100/21,982 - Step 6: Final answer
x = 48,021.11
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Why These Related Problems?
These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.