Finding the Third Proportional to 16,580 and 32,314
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Solution
The third proportional to 16,580 and 32,314 is: 62,979.17
Step by Step Solution
- Step 1: Write the proportion equation
16,580 : 32,314 = 32,314 : x - Step 2: Convert to fraction form
16,580/32,314 = 32,314/x - Step 3: Cross multiply
16,580x = 32,314 × 32,314 - Step 4: Simplify right side
16,580x = 1,044,194,596 - Step 5: Solve for x
x = 1,044,194,596/16,580 - Step 6: Final answer
x = 62,979.17
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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.