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Finding the Third Proportional to 13,674 and 22,019

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Solution

The third proportional to 13,674 and 22,019 is: 35,456.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,674 : 22,019 = 22,019 : x
  2. Step 2: Convert to fraction form
    13,674/22,019 = 22,019/x
  3. Step 3: Cross multiply
    13,674x = 22,019 × 22,019
  4. Step 4: Simplify right side
    13,674x = 484,836,361
  5. Step 5: Solve for x
    x = 484,836,361/13,674
  6. Step 6: Final answer
    x = 35,456.81

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.