Finding the Third Proportional to 31,620 and 42,312
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Solution
The third proportional to 31,620 and 42,312 is: 56,619.40
Step by Step Solution
- Step 1: Write the proportion equation
31,620 : 42,312 = 42,312 : x - Step 2: Convert to fraction form
31,620/42,312 = 42,312/x - Step 3: Cross multiply
31,620x = 42,312 × 42,312 - Step 4: Simplify right side
31,620x = 1,790,305,344 - Step 5: Solve for x
x = 1,790,305,344/31,620 - Step 6: Final answer
x = 56,619.40
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Why These Related Problems?
These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.