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Finding the Third Proportional to 31,968 and 44,496

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Solution

The third proportional to 31,968 and 44,496 is: 61,933.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,968 : 44,496 = 44,496 : x
  2. Step 2: Convert to fraction form
    31,968/44,496 = 44,496/x
  3. Step 3: Cross multiply
    31,968x = 44,496 × 44,496
  4. Step 4: Simplify right side
    31,968x = 1,979,894,016
  5. Step 5: Solve for x
    x = 1,979,894,016/31,968
  6. Step 6: Final answer
    x = 61,933.62

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.