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Finding the Third Proportional to 19,844 and 26,951

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Solution

The third proportional to 19,844 and 26,951 is: 36,603.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,844 : 26,951 = 26,951 : x
  2. Step 2: Convert to fraction form
    19,844/26,951 = 26,951/x
  3. Step 3: Cross multiply
    19,844x = 26,951 × 26,951
  4. Step 4: Simplify right side
    19,844x = 726,356,401
  5. Step 5: Solve for x
    x = 726,356,401/19,844
  6. Step 6: Final answer
    x = 36,603.33

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.