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Finding the Third Proportional to 8,614 and 16,994

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Solution

The third proportional to 8,614 and 16,994 is: 33,526.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,614 : 16,994 = 16,994 : x
  2. Step 2: Convert to fraction form
    8,614/16,994 = 16,994/x
  3. Step 3: Cross multiply
    8,614x = 16,994 × 16,994
  4. Step 4: Simplify right side
    8,614x = 288,796,036
  5. Step 5: Solve for x
    x = 288,796,036/8,614
  6. Step 6: Final answer
    x = 33,526.36

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.