Finding the Third Proportional to 34,202 and 54,639
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Solution
The third proportional to 34,202 and 54,639 is: 87,287.89
Step by Step Solution
- Step 1: Write the proportion equation
34,202 : 54,639 = 54,639 : x - Step 2: Convert to fraction form
34,202/54,639 = 54,639/x - Step 3: Cross multiply
34,202x = 54,639 × 54,639 - Step 4: Simplify right side
34,202x = 2,985,420,321 - Step 5: Solve for x
x = 2,985,420,321/34,202 - Step 6: Final answer
x = 87,287.89
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Why These Related Problems?
These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.