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Finding the Third Proportional to 19,296 and 26,880

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Solution

The third proportional to 19,296 and 26,880 is: 37,444.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,296 : 26,880 = 26,880 : x
  2. Step 2: Convert to fraction form
    19,296/26,880 = 26,880/x
  3. Step 3: Cross multiply
    19,296x = 26,880 × 26,880
  4. Step 4: Simplify right side
    19,296x = 722,534,400
  5. Step 5: Solve for x
    x = 722,534,400/19,296
  6. Step 6: Final answer
    x = 37,444.78

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.