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Finding the Third Proportional to 17,024 and 24,944

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Solution

The third proportional to 17,024 and 24,944 is: 36,548.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,024 : 24,944 = 24,944 : x
  2. Step 2: Convert to fraction form
    17,024/24,944 = 24,944/x
  3. Step 3: Cross multiply
    17,024x = 24,944 × 24,944
  4. Step 4: Simplify right side
    17,024x = 622,203,136
  5. Step 5: Solve for x
    x = 622,203,136/17,024
  6. Step 6: Final answer
    x = 36,548.59

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.