Finding the Third Proportional to 46,700 and 102,472
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Solution
The third proportional to 46,700 and 102,472 is: 224,850.34
Step by Step Solution
- Step 1: Write the proportion equation
46,700 : 102,472 = 102,472 : x - Step 2: Convert to fraction form
46,700/102,472 = 102,472/x - Step 3: Cross multiply
46,700x = 102,472 × 102,472 - Step 4: Simplify right side
46,700x = 10,500,510,784 - Step 5: Solve for x
x = 10,500,510,784/46,700 - Step 6: Final answer
x = 224,850.34
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.