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Finding the Third Proportional to 16,986 and 24,467

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Solution

The third proportional to 16,986 and 24,467 is: 35,242.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,986 : 24,467 = 24,467 : x
  2. Step 2: Convert to fraction form
    16,986/24,467 = 24,467/x
  3. Step 3: Cross multiply
    16,986x = 24,467 × 24,467
  4. Step 4: Simplify right side
    16,986x = 598,634,089
  5. Step 5: Solve for x
    x = 598,634,089/16,986
  6. Step 6: Final answer
    x = 35,242.79

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.