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Finding the Third Proportional to 31,785 and 68,427

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Solution

The third proportional to 31,785 and 68,427 is: 147,310.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,785 : 68,427 = 68,427 : x
  2. Step 2: Convert to fraction form
    31,785/68,427 = 68,427/x
  3. Step 3: Cross multiply
    31,785x = 68,427 × 68,427
  4. Step 4: Simplify right side
    31,785x = 4,682,254,329
  5. Step 5: Solve for x
    x = 4,682,254,329/31,785
  6. Step 6: Final answer
    x = 147,310.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.