Finding the Third Proportional to 31,674 and 66,924
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Solution
The third proportional to 31,674 and 66,924 is: 141,403.73
Step by Step Solution
- Step 1: Write the proportion equation
31,674 : 66,924 = 66,924 : x - Step 2: Convert to fraction form
31,674/66,924 = 66,924/x - Step 3: Cross multiply
31,674x = 66,924 × 66,924 - Step 4: Simplify right side
31,674x = 4,478,821,776 - Step 5: Solve for x
x = 4,478,821,776/31,674 - Step 6: Final answer
x = 141,403.73
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Why These Related Problems?
These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.