Finding the Third Proportional to 16,536 and 23,130
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Solution
The third proportional to 16,536 and 23,130 is: 32,353.47
Step by Step Solution
- Step 1: Write the proportion equation
16,536 : 23,130 = 23,130 : x - Step 2: Convert to fraction form
16,536/23,130 = 23,130/x - Step 3: Cross multiply
16,536x = 23,130 × 23,130 - Step 4: Simplify right side
16,536x = 534,996,900 - Step 5: Solve for x
x = 534,996,900/16,536 - Step 6: Final answer
x = 32,353.47
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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.