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Finding the Third Proportional to 16,008 and 25,568

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Solution

The third proportional to 16,008 and 25,568 is: 40,837.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,008 : 25,568 = 25,568 : x
  2. Step 2: Convert to fraction form
    16,008/25,568 = 25,568/x
  3. Step 3: Cross multiply
    16,008x = 25,568 × 25,568
  4. Step 4: Simplify right side
    16,008x = 653,722,624
  5. Step 5: Solve for x
    x = 653,722,624/16,008
  6. Step 6: Final answer
    x = 40,837.25

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.