Finding the Third Proportional to 749 and 1,732
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Solution
The third proportional to 749 and 1,732 is: 4,005.11
Step by Step Solution
- Step 1: Write the proportion equation
749 : 1,732 = 1,732 : x - Step 2: Convert to fraction form
749/1,732 = 1,732/x - Step 3: Cross multiply
749x = 1,732 × 1,732 - Step 4: Simplify right side
749x = 2,999,824 - Step 5: Solve for x
x = 2,999,824/749 - Step 6: Final answer
x = 4,005.11
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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.