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Finding the Third Proportional to 17,724 and 26,244

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Solution

The third proportional to 17,724 and 26,244 is: 38,859.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,724 : 26,244 = 26,244 : x
  2. Step 2: Convert to fraction form
    17,724/26,244 = 26,244/x
  3. Step 3: Cross multiply
    17,724x = 26,244 × 26,244
  4. Step 4: Simplify right side
    17,724x = 688,747,536
  5. Step 5: Solve for x
    x = 688,747,536/17,724
  6. Step 6: Final answer
    x = 38,859.60

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.