Finding the Third Proportional to 31,488 and 64,822
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Solution
The third proportional to 31,488 and 64,822 is: 133,444.22
Step by Step Solution
- Step 1: Write the proportion equation
31,488 : 64,822 = 64,822 : x - Step 2: Convert to fraction form
31,488/64,822 = 64,822/x - Step 3: Cross multiply
31,488x = 64,822 × 64,822 - Step 4: Simplify right side
31,488x = 4,201,891,684 - Step 5: Solve for x
x = 4,201,891,684/31,488 - Step 6: Final answer
x = 133,444.22
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Why These Related Problems?
These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.