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Finding the Third Proportional to 29,600 and 61,936

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Solution

The third proportional to 29,600 and 61,936 is: 129,596.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,600 : 61,936 = 61,936 : x
  2. Step 2: Convert to fraction form
    29,600/61,936 = 61,936/x
  3. Step 3: Cross multiply
    29,600x = 61,936 × 61,936
  4. Step 4: Simplify right side
    29,600x = 3,836,068,096
  5. Step 5: Solve for x
    x = 3,836,068,096/29,600
  6. Step 6: Final answer
    x = 129,596.90

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.