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Finding the Third Proportional to 31,856 and 50,600

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Solution

The third proportional to 31,856 and 50,600 is: 80,372.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,856 : 50,600 = 50,600 : x
  2. Step 2: Convert to fraction form
    31,856/50,600 = 50,600/x
  3. Step 3: Cross multiply
    31,856x = 50,600 × 50,600
  4. Step 4: Simplify right side
    31,856x = 2,560,360,000
  5. Step 5: Solve for x
    x = 2,560,360,000/31,856
  6. Step 6: Final answer
    x = 80,372.93

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Why These Related Problems?

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