Finding the Third Proportional to 7,596.25 and 11,660.38
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Solution
The third proportional to 7,596.25 and 11,660.38 is: 17,898.88
Step by Step Solution
- Step 1: Write the proportion equation
7,596.25 : 11,660.38 = 11,660.38 : x - Step 2: Convert to fraction form
7,596.25/11,660.38 = 11,660.38/x - Step 3: Cross multiply
7,596.25x = 11,660.38 × 11,660.38 - Step 4: Simplify right side
7,596.25x = 135,964,345.14 - Step 5: Solve for x
x = 135,964,345.14/7,596.25 - Step 6: Final answer
x = 17,898.88
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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.