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Finding the Third Proportional to 31,167 and 39,870

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Solution

The third proportional to 31,167 and 39,870 is: 51,003.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,167 : 39,870 = 39,870 : x
  2. Step 2: Convert to fraction form
    31,167/39,870 = 39,870/x
  3. Step 3: Cross multiply
    31,167x = 39,870 × 39,870
  4. Step 4: Simplify right side
    31,167x = 1,589,616,900
  5. Step 5: Solve for x
    x = 1,589,616,900/31,167
  6. Step 6: Final answer
    x = 51,003.21

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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.