Finding the Third Proportional to 23,158 and 47,904
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Solution
The third proportional to 23,158 and 47,904 is: 99,092.89
Step by Step Solution
- Step 1: Write the proportion equation
23,158 : 47,904 = 47,904 : x - Step 2: Convert to fraction form
23,158/47,904 = 47,904/x - Step 3: Cross multiply
23,158x = 47,904 × 47,904 - Step 4: Simplify right side
23,158x = 2,294,793,216 - Step 5: Solve for x
x = 2,294,793,216/23,158 - Step 6: Final answer
x = 99,092.89
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Why These Related Problems?
These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.