Finding the Third Proportional to 51,924 and 77,798
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Solution
The third proportional to 51,924 and 77,798 is: 116,565.15
Step by Step Solution
- Step 1: Write the proportion equation
51,924 : 77,798 = 77,798 : x - Step 2: Convert to fraction form
51,924/77,798 = 77,798/x - Step 3: Cross multiply
51,924x = 77,798 × 77,798 - Step 4: Simplify right side
51,924x = 6,052,528,804 - Step 5: Solve for x
x = 6,052,528,804/51,924 - Step 6: Final answer
x = 116,565.15
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.