Finding the Third Proportional to 17,760 and 27,594
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Solution
The third proportional to 17,760 and 27,594 is: 42,873.25
Step by Step Solution
- Step 1: Write the proportion equation
17,760 : 27,594 = 27,594 : x - Step 2: Convert to fraction form
17,760/27,594 = 27,594/x - Step 3: Cross multiply
17,760x = 27,594 × 27,594 - Step 4: Simplify right side
17,760x = 761,428,836 - Step 5: Solve for x
x = 761,428,836/17,760 - Step 6: Final answer
x = 42,873.25
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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.