Finding the Third Proportional to 31,656 and 67,704
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Solution
The third proportional to 31,656 and 67,704 is: 144,801.35
Step by Step Solution
- Step 1: Write the proportion equation
31,656 : 67,704 = 67,704 : x - Step 2: Convert to fraction form
31,656/67,704 = 67,704/x - Step 3: Cross multiply
31,656x = 67,704 × 67,704 - Step 4: Simplify right side
31,656x = 4,583,831,616 - Step 5: Solve for x
x = 4,583,831,616/31,656 - Step 6: Final answer
x = 144,801.35
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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.