Finding the Third Proportional to 30,814 and 67,639
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Solution
The third proportional to 30,814 and 67,639 is: 148,472.59
Step by Step Solution
- Step 1: Write the proportion equation
30,814 : 67,639 = 67,639 : x - Step 2: Convert to fraction form
30,814/67,639 = 67,639/x - Step 3: Cross multiply
30,814x = 67,639 × 67,639 - Step 4: Simplify right side
30,814x = 4,575,034,321 - Step 5: Solve for x
x = 4,575,034,321/30,814 - Step 6: Final answer
x = 148,472.59
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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.