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Finding the Third Proportional to 34,857 and 76,395

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Solution

The third proportional to 34,857 and 76,395 is: 167,432.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,857 : 76,395 = 76,395 : x
  2. Step 2: Convert to fraction form
    34,857/76,395 = 76,395/x
  3. Step 3: Cross multiply
    34,857x = 76,395 × 76,395
  4. Step 4: Simplify right side
    34,857x = 5,836,196,025
  5. Step 5: Solve for x
    x = 5,836,196,025/34,857
  6. Step 6: Final answer
    x = 167,432.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.