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Finding the Third Proportional to 16,849 and 36,614

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Solution

The third proportional to 16,849 and 36,614 is: 79,564.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,849 : 36,614 = 36,614 : x
  2. Step 2: Convert to fraction form
    16,849/36,614 = 36,614/x
  3. Step 3: Cross multiply
    16,849x = 36,614 × 36,614
  4. Step 4: Simplify right side
    16,849x = 1,340,584,996
  5. Step 5: Solve for x
    x = 1,340,584,996/16,849
  6. Step 6: Final answer
    x = 79,564.66

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Why These Related Problems?

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