Finding the Third Proportional to 23,916 and 32,830
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Solution
The third proportional to 23,916 and 32,830 is: 45,066.44
Step by Step Solution
- Step 1: Write the proportion equation
23,916 : 32,830 = 32,830 : x - Step 2: Convert to fraction form
23,916/32,830 = 32,830/x - Step 3: Cross multiply
23,916x = 32,830 × 32,830 - Step 4: Simplify right side
23,916x = 1,077,808,900 - Step 5: Solve for x
x = 1,077,808,900/23,916 - Step 6: Final answer
x = 45,066.44
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Why These Related Problems?
These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.