Finding the Third Proportional to 31,304 and 46,969.50
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Solution
The third proportional to 31,304 and 46,969.50 is: 70,474.51
Step by Step Solution
- Step 1: Write the proportion equation
31,304 : 46,969.50 = 46,969.50 : x - Step 2: Convert to fraction form
31,304/46,969.50 = 46,969.50/x - Step 3: Cross multiply
31,304x = 46,969.50 × 46,969.50 - Step 4: Simplify right side
31,304x = 2,206,133,930.25 - Step 5: Solve for x
x = 2,206,133,930.25/31,304 - Step 6: Final answer
x = 70,474.51
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.