Finding the Third Proportional to 12,565 and 27,314
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Solution
The third proportional to 12,565 and 27,314 is: 59,375.61
Step by Step Solution
- Step 1: Write the proportion equation
12,565 : 27,314 = 27,314 : x - Step 2: Convert to fraction form
12,565/27,314 = 27,314/x - Step 3: Cross multiply
12,565x = 27,314 × 27,314 - Step 4: Simplify right side
12,565x = 746,054,596 - Step 5: Solve for x
x = 746,054,596/12,565 - Step 6: Final answer
x = 59,375.61
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.