Finding the Third Proportional to 57,012 and 83,871
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Solution
The third proportional to 57,012 and 83,871 is: 123,383.58
Step by Step Solution
- Step 1: Write the proportion equation
57,012 : 83,871 = 83,871 : x - Step 2: Convert to fraction form
57,012/83,871 = 83,871/x - Step 3: Cross multiply
57,012x = 83,871 × 83,871 - Step 4: Simplify right side
57,012x = 7,034,344,641 - Step 5: Solve for x
x = 7,034,344,641/57,012 - Step 6: Final answer
x = 123,383.58
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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.