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Finding the Third Proportional to 31,792 and 67,805

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Solution

The third proportional to 31,792 and 67,805 is: 144,612.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,792 : 67,805 = 67,805 : x
  2. Step 2: Convert to fraction form
    31,792/67,805 = 67,805/x
  3. Step 3: Cross multiply
    31,792x = 67,805 × 67,805
  4. Step 4: Simplify right side
    31,792x = 4,597,518,025
  5. Step 5: Solve for x
    x = 4,597,518,025/31,792
  6. Step 6: Final answer
    x = 144,612.42

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.