Finding the Third Proportional to 5,348.53 and 7,708.92
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Solution
The third proportional to 5,348.53 and 7,708.92 is: 11,110.99
Step by Step Solution
- Step 1: Write the proportion equation
5,348.53 : 7,708.92 = 7,708.92 : x - Step 2: Convert to fraction form
5,348.53/7,708.92 = 7,708.92/x - Step 3: Cross multiply
5,348.53x = 7,708.92 × 7,708.92 - Step 4: Simplify right side
5,348.53x = 59,427,476.47 - Step 5: Solve for x
x = 59,427,476.47/5,348.53 - Step 6: Final answer
x = 11,110.99
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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.