Finding the Third Proportional to 49,963 and 64,822
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Solution
The third proportional to 49,963 and 64,822 is: 84,100.07
Step by Step Solution
- Step 1: Write the proportion equation
49,963 : 64,822 = 64,822 : x - Step 2: Convert to fraction form
49,963/64,822 = 64,822/x - Step 3: Cross multiply
49,963x = 64,822 × 64,822 - Step 4: Simplify right side
49,963x = 4,201,891,684 - Step 5: Solve for x
x = 4,201,891,684/49,963 - Step 6: Final answer
x = 84,100.07
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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.