Finding the Third Proportional to 10,459 and 22,996
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Solution
The third proportional to 10,459 and 22,996 is: 50,560.86
Step by Step Solution
- Step 1: Write the proportion equation
10,459 : 22,996 = 22,996 : x - Step 2: Convert to fraction form
10,459/22,996 = 22,996/x - Step 3: Cross multiply
10,459x = 22,996 × 22,996 - Step 4: Simplify right side
10,459x = 528,816,016 - Step 5: Solve for x
x = 528,816,016/10,459 - Step 6: Final answer
x = 50,560.86
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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.