Finding the Third Proportional to 31,207 and 67,967
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Solution
The third proportional to 31,207 and 67,967 is: 148,028.11
Step by Step Solution
- Step 1: Write the proportion equation
31,207 : 67,967 = 67,967 : x - Step 2: Convert to fraction form
31,207/67,967 = 67,967/x - Step 3: Cross multiply
31,207x = 67,967 × 67,967 - Step 4: Simplify right side
31,207x = 4,619,513,089 - Step 5: Solve for x
x = 4,619,513,089/31,207 - Step 6: Final answer
x = 148,028.11
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.