Finding the Third Proportional to 21,967 and 51,830
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Solution
The third proportional to 21,967 and 51,830 is: 122,290.20
Step by Step Solution
- Step 1: Write the proportion equation
21,967 : 51,830 = 51,830 : x - Step 2: Convert to fraction form
21,967/51,830 = 51,830/x - Step 3: Cross multiply
21,967x = 51,830 × 51,830 - Step 4: Simplify right side
21,967x = 2,686,348,900 - Step 5: Solve for x
x = 2,686,348,900/21,967 - Step 6: Final answer
x = 122,290.20
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Why These Related Problems?
These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.