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Finding the Third Proportional to 17,146 and 18,802

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Solution

The third proportional to 17,146 and 18,802 is: 20,617.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,146 : 18,802 = 18,802 : x
  2. Step 2: Convert to fraction form
    17,146/18,802 = 18,802/x
  3. Step 3: Cross multiply
    17,146x = 18,802 × 18,802
  4. Step 4: Simplify right side
    17,146x = 353,515,204
  5. Step 5: Solve for x
    x = 353,515,204/17,146
  6. Step 6: Final answer
    x = 20,617.94

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.