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Finding the Third Proportional to 7,679 and 16,447

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Solution

The third proportional to 7,679 and 16,447 is: 35,226.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,679 : 16,447 = 16,447 : x
  2. Step 2: Convert to fraction form
    7,679/16,447 = 16,447/x
  3. Step 3: Cross multiply
    7,679x = 16,447 × 16,447
  4. Step 4: Simplify right side
    7,679x = 270,503,809
  5. Step 5: Solve for x
    x = 270,503,809/7,679
  6. Step 6: Final answer
    x = 35,226.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.