Finding the Third Proportional to 45,784 and 70,854
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Solution
The third proportional to 45,784 and 70,854 is: 109,651.61
Step by Step Solution
- Step 1: Write the proportion equation
45,784 : 70,854 = 70,854 : x - Step 2: Convert to fraction form
45,784/70,854 = 70,854/x - Step 3: Cross multiply
45,784x = 70,854 × 70,854 - Step 4: Simplify right side
45,784x = 5,020,289,316 - Step 5: Solve for x
x = 5,020,289,316/45,784 - Step 6: Final answer
x = 109,651.61
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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.