Finding the Third Proportional to 8,489 and 18,706
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Solution
The third proportional to 8,489 and 18,706 is: 41,219.75
Step by Step Solution
- Step 1: Write the proportion equation
8,489 : 18,706 = 18,706 : x - Step 2: Convert to fraction form
8,489/18,706 = 18,706/x - Step 3: Cross multiply
8,489x = 18,706 × 18,706 - Step 4: Simplify right side
8,489x = 349,914,436 - Step 5: Solve for x
x = 349,914,436/8,489 - Step 6: Final answer
x = 41,219.75
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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.