Finding the Third Proportional to 45,770 and 67,424
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Solution
The third proportional to 45,770 and 67,424 is: 99,322.61
Step by Step Solution
- Step 1: Write the proportion equation
45,770 : 67,424 = 67,424 : x - Step 2: Convert to fraction form
45,770/67,424 = 67,424/x - Step 3: Cross multiply
45,770x = 67,424 × 67,424 - Step 4: Simplify right side
45,770x = 4,545,995,776 - Step 5: Solve for x
x = 4,545,995,776/45,770 - Step 6: Final answer
x = 99,322.61
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Why These Related Problems?
These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.