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Finding the Third Proportional to 16,686 and 36,467

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Solution

The third proportional to 16,686 and 36,467 is: 79,698.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,686 : 36,467 = 36,467 : x
  2. Step 2: Convert to fraction form
    16,686/36,467 = 36,467/x
  3. Step 3: Cross multiply
    16,686x = 36,467 × 36,467
  4. Step 4: Simplify right side
    16,686x = 1,329,842,089
  5. Step 5: Solve for x
    x = 1,329,842,089/16,686
  6. Step 6: Final answer
    x = 79,698.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.