Finding the Third Proportional to 30,996 and 46,417.50
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Solution
The third proportional to 30,996 and 46,417.50 is: 69,511.69
Step by Step Solution
- Step 1: Write the proportion equation
30,996 : 46,417.50 = 46,417.50 : x - Step 2: Convert to fraction form
30,996/46,417.50 = 46,417.50/x - Step 3: Cross multiply
30,996x = 46,417.50 × 46,417.50 - Step 4: Simplify right side
30,996x = 2,154,584,306.25 - Step 5: Solve for x
x = 2,154,584,306.25/30,996 - Step 6: Final answer
x = 69,511.69
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.