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Finding the Third Proportional to 16,958 and 25,941

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Solution

The third proportional to 16,958 and 25,941 is: 39,682.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,958 : 25,941 = 25,941 : x
  2. Step 2: Convert to fraction form
    16,958/25,941 = 25,941/x
  3. Step 3: Cross multiply
    16,958x = 25,941 × 25,941
  4. Step 4: Simplify right side
    16,958x = 672,935,481
  5. Step 5: Solve for x
    x = 672,935,481/16,958
  6. Step 6: Final answer
    x = 39,682.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.