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Finding the Third Proportional to 31,229 and 48,936

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Solution

The third proportional to 31,229 and 48,936 is: 76,682.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,229 : 48,936 = 48,936 : x
  2. Step 2: Convert to fraction form
    31,229/48,936 = 48,936/x
  3. Step 3: Cross multiply
    31,229x = 48,936 × 48,936
  4. Step 4: Simplify right side
    31,229x = 2,394,732,096
  5. Step 5: Solve for x
    x = 2,394,732,096/31,229
  6. Step 6: Final answer
    x = 76,682.96

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.