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Finding the Third Proportional to 17,398 and 26,951

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Solution

The third proportional to 17,398 and 26,951 is: 41,749.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,398 : 26,951 = 26,951 : x
  2. Step 2: Convert to fraction form
    17,398/26,951 = 26,951/x
  3. Step 3: Cross multiply
    17,398x = 26,951 × 26,951
  4. Step 4: Simplify right side
    17,398x = 726,356,401
  5. Step 5: Solve for x
    x = 726,356,401/17,398
  6. Step 6: Final answer
    x = 41,749.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.