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Finding the Third Proportional to 16,267 and 23,783

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Solution

The third proportional to 16,267 and 23,783 is: 34,771.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,267 : 23,783 = 23,783 : x
  2. Step 2: Convert to fraction form
    16,267/23,783 = 23,783/x
  3. Step 3: Cross multiply
    16,267x = 23,783 × 23,783
  4. Step 4: Simplify right side
    16,267x = 565,631,089
  5. Step 5: Solve for x
    x = 565,631,089/16,267
  6. Step 6: Final answer
    x = 34,771.69

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.