Finding the Third Proportional to 14,970 and 32,850
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Solution
The third proportional to 14,970 and 32,850 is: 72,085.67
Step by Step Solution
- Step 1: Write the proportion equation
14,970 : 32,850 = 32,850 : x - Step 2: Convert to fraction form
14,970/32,850 = 32,850/x - Step 3: Cross multiply
14,970x = 32,850 × 32,850 - Step 4: Simplify right side
14,970x = 1,079,122,500 - Step 5: Solve for x
x = 1,079,122,500/14,970 - Step 6: Final answer
x = 72,085.67
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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.