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Finding the Third Proportional to 14,067 and 30,987.38

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Solution

The third proportional to 14,067 and 30,987.38 is: 68,260.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,067 : 30,987.38 = 30,987.38 : x
  2. Step 2: Convert to fraction form
    14,067/30,987.38 = 30,987.38/x
  3. Step 3: Cross multiply
    14,067x = 30,987.38 × 30,987.38
  4. Step 4: Simplify right side
    14,067x = 960,217,409.39
  5. Step 5: Solve for x
    x = 960,217,409.39/14,067
  6. Step 6: Final answer
    x = 68,260.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.