Finding the Third Proportional to 31,449 and 68,730
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Solution
The third proportional to 31,449 and 68,730 is: 150,205.50
Step by Step Solution
- Step 1: Write the proportion equation
31,449 : 68,730 = 68,730 : x - Step 2: Convert to fraction form
31,449/68,730 = 68,730/x - Step 3: Cross multiply
31,449x = 68,730 × 68,730 - Step 4: Simplify right side
31,449x = 4,723,812,900 - Step 5: Solve for x
x = 4,723,812,900/31,449 - Step 6: Final answer
x = 150,205.50
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.