Finding the Third Proportional to 33,470 and 51,854
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Solution
The third proportional to 33,470 and 51,854 is: 80,335.74
Step by Step Solution
- Step 1: Write the proportion equation
33,470 : 51,854 = 51,854 : x - Step 2: Convert to fraction form
33,470/51,854 = 51,854/x - Step 3: Cross multiply
33,470x = 51,854 × 51,854 - Step 4: Simplify right side
33,470x = 2,688,837,316 - Step 5: Solve for x
x = 2,688,837,316/33,470 - Step 6: Final answer
x = 80,335.74
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.