Finding the Third Proportional to 31,352 and 67,077
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Solution
The third proportional to 31,352 and 67,077 is: 143,509.95
Step by Step Solution
- Step 1: Write the proportion equation
31,352 : 67,077 = 67,077 : x - Step 2: Convert to fraction form
31,352/67,077 = 67,077/x - Step 3: Cross multiply
31,352x = 67,077 × 67,077 - Step 4: Simplify right side
31,352x = 4,499,323,929 - Step 5: Solve for x
x = 4,499,323,929/31,352 - Step 6: Final answer
x = 143,509.95
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.