Finding the Third Proportional to 30,440 and 45,732
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Solution
The third proportional to 30,440 and 45,732 is: 68,706.17
Step by Step Solution
- Step 1: Write the proportion equation
30,440 : 45,732 = 45,732 : x - Step 2: Convert to fraction form
30,440/45,732 = 45,732/x - Step 3: Cross multiply
30,440x = 45,732 × 45,732 - Step 4: Simplify right side
30,440x = 2,091,415,824 - Step 5: Solve for x
x = 2,091,415,824/30,440 - Step 6: Final answer
x = 68,706.17
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.