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Finding the Third Proportional to 31,792 and 50,432

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Solution

The third proportional to 31,792 and 50,432 is: 80,000.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,792 : 50,432 = 50,432 : x
  2. Step 2: Convert to fraction form
    31,792/50,432 = 50,432/x
  3. Step 3: Cross multiply
    31,792x = 50,432 × 50,432
  4. Step 4: Simplify right side
    31,792x = 2,543,386,624
  5. Step 5: Solve for x
    x = 2,543,386,624/31,792
  6. Step 6: Final answer
    x = 80,000.84

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.