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Finding the Third Proportional to 31,844 and 69,394

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Solution

The third proportional to 31,844 and 69,394 is: 151,222.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,844 : 69,394 = 69,394 : x
  2. Step 2: Convert to fraction form
    31,844/69,394 = 69,394/x
  3. Step 3: Cross multiply
    31,844x = 69,394 × 69,394
  4. Step 4: Simplify right side
    31,844x = 4,815,527,236
  5. Step 5: Solve for x
    x = 4,815,527,236/31,844
  6. Step 6: Final answer
    x = 151,222.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.