Finding the Third Proportional to 9,702 and 16,641
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Solution
The third proportional to 9,702 and 16,641 is: 28,542.87
Step by Step Solution
- Step 1: Write the proportion equation
9,702 : 16,641 = 16,641 : x - Step 2: Convert to fraction form
9,702/16,641 = 16,641/x - Step 3: Cross multiply
9,702x = 16,641 × 16,641 - Step 4: Simplify right side
9,702x = 276,922,881 - Step 5: Solve for x
x = 276,922,881/9,702 - Step 6: Final answer
x = 28,542.87
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These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.