Finding the Third Proportional to 36,792 and 77,877
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Solution
The third proportional to 36,792 and 77,877 is: 164,840.92
Step by Step Solution
- Step 1: Write the proportion equation
36,792 : 77,877 = 77,877 : x - Step 2: Convert to fraction form
36,792/77,877 = 77,877/x - Step 3: Cross multiply
36,792x = 77,877 × 77,877 - Step 4: Simplify right side
36,792x = 6,064,827,129 - Step 5: Solve for x
x = 6,064,827,129/36,792 - Step 6: Final answer
x = 164,840.92
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.