Finding the Third Proportional to 45,706 and 69,046
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Solution
The third proportional to 45,706 and 69,046 is: 104,304.69
Step by Step Solution
- Step 1: Write the proportion equation
45,706 : 69,046 = 69,046 : x - Step 2: Convert to fraction form
45,706/69,046 = 69,046/x - Step 3: Cross multiply
45,706x = 69,046 × 69,046 - Step 4: Simplify right side
45,706x = 4,767,350,116 - Step 5: Solve for x
x = 4,767,350,116/45,706 - Step 6: Final answer
x = 104,304.69
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.