Finding the Third Proportional to 1,748.25 and 2,643.75
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Solution
The third proportional to 1,748.25 and 2,643.75 is: 3,997.95
Step by Step Solution
- Step 1: Write the proportion equation
1,748.25 : 2,643.75 = 2,643.75 : x - Step 2: Convert to fraction form
1,748.25/2,643.75 = 2,643.75/x - Step 3: Cross multiply
1,748.25x = 2,643.75 × 2,643.75 - Step 4: Simplify right side
1,748.25x = 6,989,414.06 - Step 5: Solve for x
x = 6,989,414.06/1,748.25 - Step 6: Final answer
x = 3,997.95
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.