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Finding the Third Proportional to 16,608 and 25,832

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Solution

The third proportional to 16,608 and 25,832 is: 40,178.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,608 : 25,832 = 25,832 : x
  2. Step 2: Convert to fraction form
    16,608/25,832 = 25,832/x
  3. Step 3: Cross multiply
    16,608x = 25,832 × 25,832
  4. Step 4: Simplify right side
    16,608x = 667,292,224
  5. Step 5: Solve for x
    x = 667,292,224/16,608
  6. Step 6: Final answer
    x = 40,178.96

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.