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Finding the Third Proportional to 14,119 and 30,698

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Solution

The third proportional to 14,119 and 30,698 is: 66,744.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,119 : 30,698 = 30,698 : x
  2. Step 2: Convert to fraction form
    14,119/30,698 = 30,698/x
  3. Step 3: Cross multiply
    14,119x = 30,698 × 30,698
  4. Step 4: Simplify right side
    14,119x = 942,367,204
  5. Step 5: Solve for x
    x = 942,367,204/14,119
  6. Step 6: Final answer
    x = 66,744.61

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.