Finding the Third Proportional to 31,206.50 and 67,333
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Solution
The third proportional to 31,206.50 and 67,333 is: 145,281.68
Step by Step Solution
- Step 1: Write the proportion equation
31,206.50 : 67,333 = 67,333 : x - Step 2: Convert to fraction form
31,206.50/67,333 = 67,333/x - Step 3: Cross multiply
31,206.50x = 67,333 × 67,333 - Step 4: Simplify right side
31,206.50x = 4,533,732,889 - Step 5: Solve for x
x = 4,533,732,889/31,206.50 - Step 6: Final answer
x = 145,281.68
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.