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Finding the Third Proportional to 17,822 and 25,941

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Solution

The third proportional to 17,822 and 25,941 is: 37,758.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,822 : 25,941 = 25,941 : x
  2. Step 2: Convert to fraction form
    17,822/25,941 = 25,941/x
  3. Step 3: Cross multiply
    17,822x = 25,941 × 25,941
  4. Step 4: Simplify right side
    17,822x = 672,935,481
  5. Step 5: Solve for x
    x = 672,935,481/17,822
  6. Step 6: Final answer
    x = 37,758.70

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.