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Finding the Third Proportional to 16,968 and 31,568

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Solution

The third proportional to 16,968 and 31,568 is: 58,730.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,968 : 31,568 = 31,568 : x
  2. Step 2: Convert to fraction form
    16,968/31,568 = 31,568/x
  3. Step 3: Cross multiply
    16,968x = 31,568 × 31,568
  4. Step 4: Simplify right side
    16,968x = 996,538,624
  5. Step 5: Solve for x
    x = 996,538,624/16,968
  6. Step 6: Final answer
    x = 58,730.47

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.