Finding the Third Proportional to 31,389 and 67,098
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Solution
The third proportional to 31,389 and 67,098 is: 143,430.55
Step by Step Solution
- Step 1: Write the proportion equation
31,389 : 67,098 = 67,098 : x - Step 2: Convert to fraction form
31,389/67,098 = 67,098/x - Step 3: Cross multiply
31,389x = 67,098 × 67,098 - Step 4: Simplify right side
31,389x = 4,502,141,604 - Step 5: Solve for x
x = 4,502,141,604/31,389 - Step 6: Final answer
x = 143,430.55
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.