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Finding the Third Proportional to 16,032 and 22,568

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Solution

The third proportional to 16,032 and 22,568 is: 31,768.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,032 : 22,568 = 22,568 : x
  2. Step 2: Convert to fraction form
    16,032/22,568 = 22,568/x
  3. Step 3: Cross multiply
    16,032x = 22,568 × 22,568
  4. Step 4: Simplify right side
    16,032x = 509,314,624
  5. Step 5: Solve for x
    x = 509,314,624/16,032
  6. Step 6: Final answer
    x = 31,768.63

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.