Finding the Third Proportional to 1,532.25 and 2,376.84
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Solution
The third proportional to 1,532.25 and 2,376.84 is: 3,686.99
Step by Step Solution
- Step 1: Write the proportion equation
1,532.25 : 2,376.84 = 2,376.84 : x - Step 2: Convert to fraction form
1,532.25/2,376.84 = 2,376.84/x - Step 3: Cross multiply
1,532.25x = 2,376.84 × 2,376.84 - Step 4: Simplify right side
1,532.25x = 5,649,386.21 - Step 5: Solve for x
x = 5,649,386.21/1,532.25 - Step 6: Final answer
x = 3,686.99
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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.