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Finding the Third Proportional to 31,600 and 50,904

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Solution

The third proportional to 31,600 and 50,904 is: 82,000.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,600 : 50,904 = 50,904 : x
  2. Step 2: Convert to fraction form
    31,600/50,904 = 50,904/x
  3. Step 3: Cross multiply
    31,600x = 50,904 × 50,904
  4. Step 4: Simplify right side
    31,600x = 2,591,217,216
  5. Step 5: Solve for x
    x = 2,591,217,216/31,600
  6. Step 6: Final answer
    x = 82,000.54

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.