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Finding the Third Proportional to 16,704 and 25,623

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Solution

The third proportional to 16,704 and 25,623 is: 39,304.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,704 : 25,623 = 25,623 : x
  2. Step 2: Convert to fraction form
    16,704/25,623 = 25,623/x
  3. Step 3: Cross multiply
    16,704x = 25,623 × 25,623
  4. Step 4: Simplify right side
    16,704x = 656,538,129
  5. Step 5: Solve for x
    x = 656,538,129/16,704
  6. Step 6: Final answer
    x = 39,304.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.