Finding the Third Proportional to 23,451 and 47,770
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Solution
The third proportional to 23,451 and 47,770 is: 97,308.13
Step by Step Solution
- Step 1: Write the proportion equation
23,451 : 47,770 = 47,770 : x - Step 2: Convert to fraction form
23,451/47,770 = 47,770/x - Step 3: Cross multiply
23,451x = 47,770 × 47,770 - Step 4: Simplify right side
23,451x = 2,281,972,900 - Step 5: Solve for x
x = 2,281,972,900/23,451 - Step 6: Final answer
x = 97,308.13
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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.