Finding the Third Proportional to 13,032 and 31,500
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Solution
The third proportional to 13,032 and 31,500 is: 76,139.50
Step by Step Solution
- Step 1: Write the proportion equation
13,032 : 31,500 = 31,500 : x - Step 2: Convert to fraction form
13,032/31,500 = 31,500/x - Step 3: Cross multiply
13,032x = 31,500 × 31,500 - Step 4: Simplify right side
13,032x = 992,250,000 - Step 5: Solve for x
x = 992,250,000/13,032 - Step 6: Final answer
x = 76,139.50
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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.