Finding the Third Proportional to 31,004 and 67,804
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Solution
The third proportional to 31,004 and 67,804 is: 148,283.53
Step by Step Solution
- Step 1: Write the proportion equation
31,004 : 67,804 = 67,804 : x - Step 2: Convert to fraction form
31,004/67,804 = 67,804/x - Step 3: Cross multiply
31,004x = 67,804 × 67,804 - Step 4: Simplify right side
31,004x = 4,597,382,416 - Step 5: Solve for x
x = 4,597,382,416/31,004 - Step 6: Final answer
x = 148,283.53
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.