Finding the Third Proportional to 5,730.75 and 7,731.75
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Solution
The third proportional to 5,730.75 and 7,731.75 is: 10,431.44
Step by Step Solution
- Step 1: Write the proportion equation
5,730.75 : 7,731.75 = 7,731.75 : x - Step 2: Convert to fraction form
5,730.75/7,731.75 = 7,731.75/x - Step 3: Cross multiply
5,730.75x = 7,731.75 × 7,731.75 - Step 4: Simplify right side
5,730.75x = 59,779,958.06 - Step 5: Solve for x
x = 59,779,958.06/5,730.75 - Step 6: Final answer
x = 10,431.44
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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.