Finding the Third Proportional to 17,832 and 19,752
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Solution
The third proportional to 17,832 and 19,752 is: 21,878.73
Step by Step Solution
- Step 1: Write the proportion equation
17,832 : 19,752 = 19,752 : x - Step 2: Convert to fraction form
17,832/19,752 = 19,752/x - Step 3: Cross multiply
17,832x = 19,752 × 19,752 - Step 4: Simplify right side
17,832x = 390,141,504 - Step 5: Solve for x
x = 390,141,504/17,832 - Step 6: Final answer
x = 21,878.73
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Why These Related Problems?
These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.