Finding the Third Proportional to 1,762 and 2,656
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Solution
The third proportional to 1,762 and 2,656 is: 4,003.60
Step by Step Solution
- Step 1: Write the proportion equation
1,762 : 2,656 = 2,656 : x - Step 2: Convert to fraction form
1,762/2,656 = 2,656/x - Step 3: Cross multiply
1,762x = 2,656 × 2,656 - Step 4: Simplify right side
1,762x = 7,054,336 - Step 5: Solve for x
x = 7,054,336/1,762 - Step 6: Final answer
x = 4,003.60
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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.