Finding the Third Proportional to 15,496 and 31,816
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Solution
The third proportional to 15,496 and 31,816 is: 65,323.82
Step by Step Solution
- Step 1: Write the proportion equation
15,496 : 31,816 = 31,816 : x - Step 2: Convert to fraction form
15,496/31,816 = 31,816/x - Step 3: Cross multiply
15,496x = 31,816 × 31,816 - Step 4: Simplify right side
15,496x = 1,012,257,856 - Step 5: Solve for x
x = 1,012,257,856/15,496 - Step 6: Final answer
x = 65,323.82
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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.