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Finding the Third Proportional to 51,832 and 82,515

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Solution

The third proportional to 51,832 and 82,515 is: 131,361.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,832 : 82,515 = 82,515 : x
  2. Step 2: Convert to fraction form
    51,832/82,515 = 82,515/x
  3. Step 3: Cross multiply
    51,832x = 82,515 × 82,515
  4. Step 4: Simplify right side
    51,832x = 6,808,725,225
  5. Step 5: Solve for x
    x = 6,808,725,225/51,832
  6. Step 6: Final answer
    x = 131,361.42

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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.