Finding the Third Proportional to 31,756 and 71,030
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Solution
The third proportional to 31,756 and 71,030 is: 158,875.83
Step by Step Solution
- Step 1: Write the proportion equation
31,756 : 71,030 = 71,030 : x - Step 2: Convert to fraction form
31,756/71,030 = 71,030/x - Step 3: Cross multiply
31,756x = 71,030 × 71,030 - Step 4: Simplify right side
31,756x = 5,045,260,900 - Step 5: Solve for x
x = 5,045,260,900/31,756 - Step 6: Final answer
x = 158,875.83
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Why These Related Problems?
These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.