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Finding the Third Proportional to 16,743 and 25,331

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Solution

The third proportional to 16,743 and 25,331 is: 38,324.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,743 : 25,331 = 25,331 : x
  2. Step 2: Convert to fraction form
    16,743/25,331 = 25,331/x
  3. Step 3: Cross multiply
    16,743x = 25,331 × 25,331
  4. Step 4: Simplify right side
    16,743x = 641,659,561
  5. Step 5: Solve for x
    x = 641,659,561/16,743
  6. Step 6: Final answer
    x = 38,324.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.