Finding the Third Proportional to 52 and 53.50
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Solution
The third proportional to 52 and 53.50 is: 55.04
Step by Step Solution
- Step 1: Write the proportion equation
52 : 53.50 = 53.50 : x - Step 2: Convert to fraction form
52/53.50 = 53.50/x - Step 3: Cross multiply
52x = 53.50 × 53.50 - Step 4: Simplify right side
52x = 2,862.25 - Step 5: Solve for x
x = 2,862.25/52 - Step 6: Final answer
x = 55.04
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Why These Related Problems?
These problems maintain the same ratio (1.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.