Finding the Third Proportional to 42,951.75 and 64,509
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Solution
The third proportional to 42,951.75 and 64,509 is: 96,885.72
Step by Step Solution
- Step 1: Write the proportion equation
42,951.75 : 64,509 = 64,509 : x - Step 2: Convert to fraction form
42,951.75/64,509 = 64,509/x - Step 3: Cross multiply
42,951.75x = 64,509 × 64,509 - Step 4: Simplify right side
42,951.75x = 4,161,411,081 - Step 5: Solve for x
x = 4,161,411,081/42,951.75 - Step 6: Final answer
x = 96,885.72
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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.