Finding the Third Proportional to 962.50 and 1,464
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Solution
The third proportional to 962.50 and 1,464 is: 2,226.80
Step by Step Solution
- Step 1: Write the proportion equation
962.50 : 1,464 = 1,464 : x - Step 2: Convert to fraction form
962.50/1,464 = 1,464/x - Step 3: Cross multiply
962.50x = 1,464 × 1,464 - Step 4: Simplify right side
962.50x = 2,143,296 - Step 5: Solve for x
x = 2,143,296/962.50 - Step 6: Final answer
x = 2,226.80
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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.