Finding the Third Proportional to 5,008 and 5,740
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Solution
The third proportional to 5,008 and 5,740 is: 6,578.99
Step by Step Solution
- Step 1: Write the proportion equation
5,008 : 5,740 = 5,740 : x - Step 2: Convert to fraction form
5,008/5,740 = 5,740/x - Step 3: Cross multiply
5,008x = 5,740 × 5,740 - Step 4: Simplify right side
5,008x = 32,947,600 - Step 5: Solve for x
x = 32,947,600/5,008 - Step 6: Final answer
x = 6,578.99
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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.