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Finding the Third Proportional to 13,698 and 16,983

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Solution

The third proportional to 13,698 and 16,983 is: 21,055.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,698 : 16,983 = 16,983 : x
  2. Step 2: Convert to fraction form
    13,698/16,983 = 16,983/x
  3. Step 3: Cross multiply
    13,698x = 16,983 × 16,983
  4. Step 4: Simplify right side
    13,698x = 288,422,289
  5. Step 5: Solve for x
    x = 288,422,289/13,698
  6. Step 6: Final answer
    x = 21,055.80

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Why These Related Problems?

These problems maintain the same ratio (1.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.