Finding the Third Proportional to 7,740 and 11,052
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Solution
The third proportional to 7,740 and 11,052 is: 15,781.23
Step by Step Solution
- Step 1: Write the proportion equation
7,740 : 11,052 = 11,052 : x - Step 2: Convert to fraction form
7,740/11,052 = 11,052/x - Step 3: Cross multiply
7,740x = 11,052 × 11,052 - Step 4: Simplify right side
7,740x = 122,146,704 - Step 5: Solve for x
x = 122,146,704/7,740 - Step 6: Final answer
x = 15,781.23
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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.