Finding the Third Proportional to 56.95 and 83.53
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Solution
The third proportional to 56.95 and 83.53 is: 122.51
Step by Step Solution
- Step 1: Write the proportion equation
56.95 : 83.53 = 83.53 : x - Step 2: Convert to fraction form
56.95/83.53 = 83.53/x - Step 3: Cross multiply
56.95x = 83.53 × 83.53 - Step 4: Simplify right side
56.95x = 6,977.47 - Step 5: Solve for x
x = 6,977.47/56.95 - Step 6: Final answer
x = 122.51
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Why These Related Problems?
These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.