Finding the Third Proportional to 13,172 and 31,094
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Solution
The third proportional to 13,172 and 31,094 is: 73,400.91
Step by Step Solution
- Step 1: Write the proportion equation
13,172 : 31,094 = 31,094 : x - Step 2: Convert to fraction form
13,172/31,094 = 31,094/x - Step 3: Cross multiply
13,172x = 31,094 × 31,094 - Step 4: Simplify right side
13,172x = 966,836,836 - Step 5: Solve for x
x = 966,836,836/13,172 - Step 6: Final answer
x = 73,400.91
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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.