Finding the Third Proportional to 4,207.50 and 6,513.75
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Solution
The third proportional to 4,207.50 and 6,513.75 is: 10,084.12
Step by Step Solution
- Step 1: Write the proportion equation
4,207.50 : 6,513.75 = 6,513.75 : x - Step 2: Convert to fraction form
4,207.50/6,513.75 = 6,513.75/x - Step 3: Cross multiply
4,207.50x = 6,513.75 × 6,513.75 - Step 4: Simplify right side
4,207.50x = 42,428,939.06 - Step 5: Solve for x
x = 42,428,939.06/4,207.50 - Step 6: Final answer
x = 10,084.12
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.