Finding the Third Proportional to 47,304 and 109,494
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Solution
The third proportional to 47,304 and 109,494 is: 253,444.45
Step by Step Solution
- Step 1: Write the proportion equation
47,304 : 109,494 = 109,494 : x - Step 2: Convert to fraction form
47,304/109,494 = 109,494/x - Step 3: Cross multiply
47,304x = 109,494 × 109,494 - Step 4: Simplify right side
47,304x = 11,988,936,036 - Step 5: Solve for x
x = 11,988,936,036/47,304 - Step 6: Final answer
x = 253,444.45
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Why These Related Problems?
These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.