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Finding the Third Proportional to 31,792 and 50,330

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Solution

The third proportional to 31,792 and 50,330 is: 79,677.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,792 : 50,330 = 50,330 : x
  2. Step 2: Convert to fraction form
    31,792/50,330 = 50,330/x
  3. Step 3: Cross multiply
    31,792x = 50,330 × 50,330
  4. Step 4: Simplify right side
    31,792x = 2,533,108,900
  5. Step 5: Solve for x
    x = 2,533,108,900/31,792
  6. Step 6: Final answer
    x = 79,677.56

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.