Finding the Third Proportional to 10,740 and 24,222
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Solution
The third proportional to 10,740 and 24,222 is: 54,628.05
Step by Step Solution
- Step 1: Write the proportion equation
10,740 : 24,222 = 24,222 : x - Step 2: Convert to fraction form
10,740/24,222 = 24,222/x - Step 3: Cross multiply
10,740x = 24,222 × 24,222 - Step 4: Simplify right side
10,740x = 586,705,284 - Step 5: Solve for x
x = 586,705,284/10,740 - Step 6: Final answer
x = 54,628.05
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Why These Related Problems?
These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.