Finding the Third Proportional to 31,132 and 42,810
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Solution
The third proportional to 31,132 and 42,810 is: 58,868.56
Step by Step Solution
- Step 1: Write the proportion equation
31,132 : 42,810 = 42,810 : x - Step 2: Convert to fraction form
31,132/42,810 = 42,810/x - Step 3: Cross multiply
31,132x = 42,810 × 42,810 - Step 4: Simplify right side
31,132x = 1,832,696,100 - Step 5: Solve for x
x = 1,832,696,100/31,132 - Step 6: Final answer
x = 58,868.56
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.