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Finding the Third Proportional to 31,939 and 65,927

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Solution

The third proportional to 31,939 and 65,927 is: 136,083.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,939 : 65,927 = 65,927 : x
  2. Step 2: Convert to fraction form
    31,939/65,927 = 65,927/x
  3. Step 3: Cross multiply
    31,939x = 65,927 × 65,927
  4. Step 4: Simplify right side
    31,939x = 4,346,369,329
  5. Step 5: Solve for x
    x = 4,346,369,329/31,939
  6. Step 6: Final answer
    x = 136,083.45

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.