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Finding the Third Proportional to 17,314 and 25,941

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Solution

The third proportional to 17,314 and 25,941 is: 38,866.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,314 : 25,941 = 25,941 : x
  2. Step 2: Convert to fraction form
    17,314/25,941 = 25,941/x
  3. Step 3: Cross multiply
    17,314x = 25,941 × 25,941
  4. Step 4: Simplify right side
    17,314x = 672,935,481
  5. Step 5: Solve for x
    x = 672,935,481/17,314
  6. Step 6: Final answer
    x = 38,866.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.