Finding the Third Proportional to 14,534 and 30,970
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Solution
The third proportional to 14,534 and 30,970 is: 65,992.91
Step by Step Solution
- Step 1: Write the proportion equation
14,534 : 30,970 = 30,970 : x - Step 2: Convert to fraction form
14,534/30,970 = 30,970/x - Step 3: Cross multiply
14,534x = 30,970 × 30,970 - Step 4: Simplify right side
14,534x = 959,140,900 - Step 5: Solve for x
x = 959,140,900/14,534 - Step 6: Final answer
x = 65,992.91
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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.