Finding the Third Proportional to 962.50 and 1,407.75
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Solution
The third proportional to 962.50 and 1,407.75 is: 2,058.97
Step by Step Solution
- Step 1: Write the proportion equation
962.50 : 1,407.75 = 1,407.75 : x - Step 2: Convert to fraction form
962.50/1,407.75 = 1,407.75/x - Step 3: Cross multiply
962.50x = 1,407.75 × 1,407.75 - Step 4: Simplify right side
962.50x = 1,981,760.06 - Step 5: Solve for x
x = 1,981,760.06/962.50 - Step 6: Final answer
x = 2,058.97
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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.