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Finding the Third Proportional to 13,859 and 26,442

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Solution

The third proportional to 13,859 and 26,442 is: 50,449.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,859 : 26,442 = 26,442 : x
  2. Step 2: Convert to fraction form
    13,859/26,442 = 26,442/x
  3. Step 3: Cross multiply
    13,859x = 26,442 × 26,442
  4. Step 4: Simplify right side
    13,859x = 699,179,364
  5. Step 5: Solve for x
    x = 699,179,364/13,859
  6. Step 6: Final answer
    x = 50,449.48

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.