Finding the Third Proportional to 31,702 and 44,316
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Solution
The third proportional to 31,702 and 44,316 is: 61,949.02
Step by Step Solution
- Step 1: Write the proportion equation
31,702 : 44,316 = 44,316 : x - Step 2: Convert to fraction form
31,702/44,316 = 44,316/x - Step 3: Cross multiply
31,702x = 44,316 × 44,316 - Step 4: Simplify right side
31,702x = 1,963,907,856 - Step 5: Solve for x
x = 1,963,907,856/31,702 - Step 6: Final answer
x = 61,949.02
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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.