Finding the Third Proportional to 5,271.75 and 7,899.75
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Solution
The third proportional to 5,271.75 and 7,899.75 is: 11,837.82
Step by Step Solution
- Step 1: Write the proportion equation
5,271.75 : 7,899.75 = 7,899.75 : x - Step 2: Convert to fraction form
5,271.75/7,899.75 = 7,899.75/x - Step 3: Cross multiply
5,271.75x = 7,899.75 × 7,899.75 - Step 4: Simplify right side
5,271.75x = 62,406,050.06 - Step 5: Solve for x
x = 62,406,050.06/5,271.75 - Step 6: Final answer
x = 11,837.82
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.