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Finding the Third Proportional to 6,619 and 14,306

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Solution

The third proportional to 6,619 and 14,306 is: 30,920.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,619 : 14,306 = 14,306 : x
  2. Step 2: Convert to fraction form
    6,619/14,306 = 14,306/x
  3. Step 3: Cross multiply
    6,619x = 14,306 × 14,306
  4. Step 4: Simplify right side
    6,619x = 204,661,636
  5. Step 5: Solve for x
    x = 204,661,636/6,619
  6. Step 6: Final answer
    x = 30,920.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.