Finding the Third Proportional to 23,008 and 47,960
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Solution
The third proportional to 23,008 and 47,960 is: 99,972.25
Step by Step Solution
- Step 1: Write the proportion equation
23,008 : 47,960 = 47,960 : x - Step 2: Convert to fraction form
23,008/47,960 = 47,960/x - Step 3: Cross multiply
23,008x = 47,960 × 47,960 - Step 4: Simplify right side
23,008x = 2,300,161,600 - Step 5: Solve for x
x = 2,300,161,600/23,008 - Step 6: Final answer
x = 99,972.25
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Why These Related Problems?
These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.