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Finding the Third Proportional to 19,828 and 26,917

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Solution

The third proportional to 19,828 and 26,917 is: 36,540.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,828 : 26,917 = 26,917 : x
  2. Step 2: Convert to fraction form
    19,828/26,917 = 26,917/x
  3. Step 3: Cross multiply
    19,828x = 26,917 × 26,917
  4. Step 4: Simplify right side
    19,828x = 724,524,889
  5. Step 5: Solve for x
    x = 724,524,889/19,828
  6. Step 6: Final answer
    x = 36,540.49

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1.5x scale

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.