Finding the Third Proportional to 23,443 and 47,756
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Solution
The third proportional to 23,443 and 47,756 is: 97,284.29
Step by Step Solution
- Step 1: Write the proportion equation
23,443 : 47,756 = 47,756 : x - Step 2: Convert to fraction form
23,443/47,756 = 47,756/x - Step 3: Cross multiply
23,443x = 47,756 × 47,756 - Step 4: Simplify right side
23,443x = 2,280,635,536 - Step 5: Solve for x
x = 2,280,635,536/23,443 - Step 6: Final answer
x = 97,284.29
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Why These Related Problems?
These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.