Finding the Third Proportional to 30,812 and 65,080
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Solution
The third proportional to 30,812 and 65,080 is: 137,459.64
Step by Step Solution
- Step 1: Write the proportion equation
30,812 : 65,080 = 65,080 : x - Step 2: Convert to fraction form
30,812/65,080 = 65,080/x - Step 3: Cross multiply
30,812x = 65,080 × 65,080 - Step 4: Simplify right side
30,812x = 4,235,406,400 - Step 5: Solve for x
x = 4,235,406,400/30,812 - Step 6: Final answer
x = 137,459.64
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Why These Related Problems?
These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.