Finding the Third Proportional to 23,284 and 47,644
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Solution
The third proportional to 23,284 and 47,644 is: 97,489.72
Step by Step Solution
- Step 1: Write the proportion equation
23,284 : 47,644 = 47,644 : x - Step 2: Convert to fraction form
23,284/47,644 = 47,644/x - Step 3: Cross multiply
23,284x = 47,644 × 47,644 - Step 4: Simplify right side
23,284x = 2,269,950,736 - Step 5: Solve for x
x = 2,269,950,736/23,284 - Step 6: Final answer
x = 97,489.72
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Why These Related Problems?
These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.