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Finding the Third Proportional to 16,802 and 25,690

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Solution

The third proportional to 16,802 and 25,690 is: 39,279.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,802 : 25,690 = 25,690 : x
  2. Step 2: Convert to fraction form
    16,802/25,690 = 25,690/x
  3. Step 3: Cross multiply
    16,802x = 25,690 × 25,690
  4. Step 4: Simplify right side
    16,802x = 659,976,100
  5. Step 5: Solve for x
    x = 659,976,100/16,802
  6. Step 6: Final answer
    x = 39,279.62

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