Finding the Third Proportional to 13,988 and 31,084
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Solution
The third proportional to 13,988 and 31,084 is: 69,074.57
Step by Step Solution
- Step 1: Write the proportion equation
13,988 : 31,084 = 31,084 : x - Step 2: Convert to fraction form
13,988/31,084 = 31,084/x - Step 3: Cross multiply
13,988x = 31,084 × 31,084 - Step 4: Simplify right side
13,988x = 966,215,056 - Step 5: Solve for x
x = 966,215,056/13,988 - Step 6: Final answer
x = 69,074.57
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Why These Related Problems?
These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.