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Finding the Third Proportional to 19,844 and 26,454

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Solution

The third proportional to 19,844 and 26,454 is: 35,265.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,844 : 26,454 = 26,454 : x
  2. Step 2: Convert to fraction form
    19,844/26,454 = 26,454/x
  3. Step 3: Cross multiply
    19,844x = 26,454 × 26,454
  4. Step 4: Simplify right side
    19,844x = 699,814,116
  5. Step 5: Solve for x
    x = 699,814,116/19,844
  6. Step 6: Final answer
    x = 35,265.78

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.