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Finding the Third Proportional to 5,972 and 10,568

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Solution

The third proportional to 5,972 and 10,568 is: 18,701.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,972 : 10,568 = 10,568 : x
  2. Step 2: Convert to fraction form
    5,972/10,568 = 10,568/x
  3. Step 3: Cross multiply
    5,972x = 10,568 × 10,568
  4. Step 4: Simplify right side
    5,972x = 111,682,624
  5. Step 5: Solve for x
    x = 111,682,624/5,972
  6. Step 6: Final answer
    x = 18,701.04

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.