Finding the Third Proportional to 37,854 and 54,319.50
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Solution
The third proportional to 37,854 and 54,319.50 is: 77,947.06
Step by Step Solution
- Step 1: Write the proportion equation
37,854 : 54,319.50 = 54,319.50 : x - Step 2: Convert to fraction form
37,854/54,319.50 = 54,319.50/x - Step 3: Cross multiply
37,854x = 54,319.50 × 54,319.50 - Step 4: Simplify right side
37,854x = 2,950,608,080.25 - Step 5: Solve for x
x = 2,950,608,080.25/37,854 - Step 6: Final answer
x = 77,947.06
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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.