Finding the Third Proportional to 19,824 and 30,732
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Solution
The third proportional to 19,824 and 30,732 is: 47,642.04
Step by Step Solution
- Step 1: Write the proportion equation
19,824 : 30,732 = 30,732 : x - Step 2: Convert to fraction form
19,824/30,732 = 30,732/x - Step 3: Cross multiply
19,824x = 30,732 × 30,732 - Step 4: Simplify right side
19,824x = 944,455,824 - Step 5: Solve for x
x = 944,455,824/19,824 - Step 6: Final answer
x = 47,642.04
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.