Finding the Third Proportional to 24 and 53.06
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Solution
The third proportional to 24 and 53.06 is: 117.32
Step by Step Solution
- Step 1: Write the proportion equation
24 : 53.06 = 53.06 : x - Step 2: Convert to fraction form
24/53.06 = 53.06/x - Step 3: Cross multiply
24x = 53.06 × 53.06 - Step 4: Simplify right side
24x = 2,815.63 - Step 5: Solve for x
x = 2,815.63/24 - Step 6: Final answer
x = 117.32
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Why These Related Problems?
These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.