Finding the Third Proportional to 9,672.50 and 13,050
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Solution
The third proportional to 9,672.50 and 13,050 is: 17,606.88
Step by Step Solution
- Step 1: Write the proportion equation
9,672.50 : 13,050 = 13,050 : x - Step 2: Convert to fraction form
9,672.50/13,050 = 13,050/x - Step 3: Cross multiply
9,672.50x = 13,050 × 13,050 - Step 4: Simplify right side
9,672.50x = 170,302,500 - Step 5: Solve for x
x = 170,302,500/9,672.50 - Step 6: Final answer
x = 17,606.88
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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.