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Finding the Third Proportional to 15,969 and 23,019

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Solution

The third proportional to 15,969 and 23,019 is: 33,181.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,969 : 23,019 = 23,019 : x
  2. Step 2: Convert to fraction form
    15,969/23,019 = 23,019/x
  3. Step 3: Cross multiply
    15,969x = 23,019 × 23,019
  4. Step 4: Simplify right side
    15,969x = 529,874,361
  5. Step 5: Solve for x
    x = 529,874,361/15,969
  6. Step 6: Final answer
    x = 33,181.44

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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.