Finding the Third Proportional to 45,726 and 64,053
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Solution
The third proportional to 45,726 and 64,053 is: 89,725.47
Step by Step Solution
- Step 1: Write the proportion equation
45,726 : 64,053 = 64,053 : x - Step 2: Convert to fraction form
45,726/64,053 = 64,053/x - Step 3: Cross multiply
45,726x = 64,053 × 64,053 - Step 4: Simplify right side
45,726x = 4,102,786,809 - Step 5: Solve for x
x = 4,102,786,809/45,726 - Step 6: Final answer
x = 89,725.47
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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.