Finding the Third Proportional to 31,428 and 68,404.50
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Solution
The third proportional to 31,428 and 68,404.50 is: 148,885.57
Step by Step Solution
- Step 1: Write the proportion equation
31,428 : 68,404.50 = 68,404.50 : x - Step 2: Convert to fraction form
31,428/68,404.50 = 68,404.50/x - Step 3: Cross multiply
31,428x = 68,404.50 × 68,404.50 - Step 4: Simplify right side
31,428x = 4,679,175,620.25 - Step 5: Solve for x
x = 4,679,175,620.25/31,428 - Step 6: Final answer
x = 148,885.57
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.