Finding the Third Proportional to 41,692.50 and 56,646
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Solution
The third proportional to 41,692.50 and 56,646 is: 76,962.75
Step by Step Solution
- Step 1: Write the proportion equation
41,692.50 : 56,646 = 56,646 : x - Step 2: Convert to fraction form
41,692.50/56,646 = 56,646/x - Step 3: Cross multiply
41,692.50x = 56,646 × 56,646 - Step 4: Simplify right side
41,692.50x = 3,208,769,316 - Step 5: Solve for x
x = 3,208,769,316/41,692.50 - Step 6: Final answer
x = 76,962.75
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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.