Finding the Third Proportional to 1,156 and 1,904
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Solution
The third proportional to 1,156 and 1,904 is: 3,136
Step by Step Solution
- Step 1: Write the proportion equation
1,156 : 1,904 = 1,904 : x - Step 2: Convert to fraction form
1,156/1,904 = 1,904/x - Step 3: Cross multiply
1,156x = 1,904 × 1,904 - Step 4: Simplify right side
1,156x = 3,625,216 - Step 5: Solve for x
x = 3,625,216/1,156 - Step 6: Final answer
x = 3,136
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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.