Finding the Third Proportional to 30,612 and 64,864
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Solution
The third proportional to 30,612 and 64,864 is: 137,440.82
Step by Step Solution
- Step 1: Write the proportion equation
30,612 : 64,864 = 64,864 : x - Step 2: Convert to fraction form
30,612/64,864 = 64,864/x - Step 3: Cross multiply
30,612x = 64,864 × 64,864 - Step 4: Simplify right side
30,612x = 4,207,338,496 - Step 5: Solve for x
x = 4,207,338,496/30,612 - Step 6: Final answer
x = 137,440.82
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.