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Finding the Third Proportional to 31,016 and 39,828

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Solution

The third proportional to 31,016 and 39,828 is: 51,143.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,016 : 39,828 = 39,828 : x
  2. Step 2: Convert to fraction form
    31,016/39,828 = 39,828/x
  3. Step 3: Cross multiply
    31,016x = 39,828 × 39,828
  4. Step 4: Simplify right side
    31,016x = 1,586,269,584
  5. Step 5: Solve for x
    x = 1,586,269,584/31,016
  6. Step 6: Final answer
    x = 51,143.59

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.