Finding the Third Proportional to 526 and 1,143
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Solution
The third proportional to 526 and 1,143 is: 2,483.74
Step by Step Solution
- Step 1: Write the proportion equation
526 : 1,143 = 1,143 : x - Step 2: Convert to fraction form
526/1,143 = 1,143/x - Step 3: Cross multiply
526x = 1,143 × 1,143 - Step 4: Simplify right side
526x = 1,306,449 - Step 5: Solve for x
x = 1,306,449/526 - Step 6: Final answer
x = 2,483.74
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.