Finding the Third Proportional to 12,700 and 14,032
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Solution
The third proportional to 12,700 and 14,032 is: 15,503.70
Step by Step Solution
- Step 1: Write the proportion equation
12,700 : 14,032 = 14,032 : x - Step 2: Convert to fraction form
12,700/14,032 = 14,032/x - Step 3: Cross multiply
12,700x = 14,032 × 14,032 - Step 4: Simplify right side
12,700x = 196,897,024 - Step 5: Solve for x
x = 196,897,024/12,700 - Step 6: Final answer
x = 15,503.70
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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.