Finding the Third Proportional to 13,192 and 31,140
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Solution
The third proportional to 13,192 and 31,140 is: 73,506.64
Step by Step Solution
- Step 1: Write the proportion equation
13,192 : 31,140 = 31,140 : x - Step 2: Convert to fraction form
13,192/31,140 = 31,140/x - Step 3: Cross multiply
13,192x = 31,140 × 31,140 - Step 4: Simplify right side
13,192x = 969,699,600 - Step 5: Solve for x
x = 969,699,600/13,192 - Step 6: Final answer
x = 73,506.64
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Why These Related Problems?
These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.