Finding the Third Proportional to 5,257.50 and 9,502.50
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Solution
The third proportional to 5,257.50 and 9,502.50 is: 17,174.99
Step by Step Solution
- Step 1: Write the proportion equation
5,257.50 : 9,502.50 = 9,502.50 : x - Step 2: Convert to fraction form
5,257.50/9,502.50 = 9,502.50/x - Step 3: Cross multiply
5,257.50x = 9,502.50 × 9,502.50 - Step 4: Simplify right side
5,257.50x = 90,297,506.25 - Step 5: Solve for x
x = 90,297,506.25/5,257.50 - Step 6: Final answer
x = 17,174.99
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These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.