Finding the Third Proportional to 16,706 and 23,355
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Solution
The third proportional to 16,706 and 23,355 is: 32,650.31
Step by Step Solution
- Step 1: Write the proportion equation
16,706 : 23,355 = 23,355 : x - Step 2: Convert to fraction form
16,706/23,355 = 23,355/x - Step 3: Cross multiply
16,706x = 23,355 × 23,355 - Step 4: Simplify right side
16,706x = 545,456,025 - Step 5: Solve for x
x = 545,456,025/16,706 - Step 6: Final answer
x = 32,650.31
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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.