Finding the Third Proportional to 31,317 and 67,560
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Solution
The third proportional to 31,317 and 67,560 is: 145,746.83
Step by Step Solution
- Step 1: Write the proportion equation
31,317 : 67,560 = 67,560 : x - Step 2: Convert to fraction form
31,317/67,560 = 67,560/x - Step 3: Cross multiply
31,317x = 67,560 × 67,560 - Step 4: Simplify right side
31,317x = 4,564,353,600 - Step 5: Solve for x
x = 4,564,353,600/31,317 - Step 6: Final answer
x = 145,746.83
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.